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Finding the Fourth Proportional to 470,460.93, 649,232.58 and 255,602.76

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Solution

The fourth proportional to 470,460.93, 649,232.58 and 255,602.76 is: 352,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,460.93 : 649,232.58 = 255,602.76 : x
  2. Step 2: Convert to fraction form
    470,460.93/649,232.58 = 255,602.76/x
  3. Step 3: Cross multiply
    470,460.93x = 649,232.58 × 255,602.76
  4. Step 4: Simplify right side
    470,460.93x = 165,945,639,329.92
  5. Step 5: Solve for x
    x = 165,945,639,329.92/470,460.93
  6. Step 6: Final answer
    x = 352,729.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.