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Finding the Fourth Proportional to 472,984.80, 709,477.20 and 417,688.80

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Solution

The fourth proportional to 472,984.80, 709,477.20 and 417,688.80 is: 626,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,984.80 : 709,477.20 = 417,688.80 : x
  2. Step 2: Convert to fraction form
    472,984.80/709,477.20 = 417,688.80/x
  3. Step 3: Cross multiply
    472,984.80x = 709,477.20 × 417,688.80
  4. Step 4: Simplify right side
    472,984.80x = 296,340,680,295.36
  5. Step 5: Solve for x
    x = 296,340,680,295.36/472,984.80
  6. Step 6: Final answer
    x = 626,533.20

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.