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Finding the Fourth Proportional to 472,947.60, 708,384.60 and 410,739.60

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Solution

The fourth proportional to 472,947.60, 708,384.60 and 410,739.60 is: 615,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,947.60 : 708,384.60 = 410,739.60 : x
  2. Step 2: Convert to fraction form
    472,947.60/708,384.60 = 410,739.60/x
  3. Step 3: Cross multiply
    472,947.60x = 708,384.60 × 410,739.60
  4. Step 4: Simplify right side
    472,947.60x = 290,961,607,250.16
  5. Step 5: Solve for x
    x = 290,961,607,250.16/472,947.60
  6. Step 6: Final answer
    x = 615,208.97

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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.