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Finding the Fourth Proportional to 517,763.54, 713,902.28 and 354,499.20

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Solution

The fourth proportional to 517,763.54, 713,902.28 and 354,499.20 is: 488,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,763.54 : 713,902.28 = 354,499.20 : x
  2. Step 2: Convert to fraction form
    517,763.54/713,902.28 = 354,499.20/x
  3. Step 3: Cross multiply
    517,763.54x = 713,902.28 × 354,499.20
  4. Step 4: Simplify right side
    517,763.54x = 253,077,785,365.68
  5. Step 5: Solve for x
    x = 253,077,785,365.68/517,763.54
  6. Step 6: Final answer
    x = 488,790.28

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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.