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Finding the Fourth Proportional to 461,754.10, 693,149.55 and 357,037.30

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Solution

The fourth proportional to 461,754.10, 693,149.55 and 357,037.30 is: 535,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,754.10 : 693,149.55 = 357,037.30 : x
  2. Step 2: Convert to fraction form
    461,754.10/693,149.55 = 357,037.30/x
  3. Step 3: Cross multiply
    461,754.10x = 693,149.55 × 357,037.30
  4. Step 4: Simplify right side
    461,754.10x = 247,480,243,828.22
  5. Step 5: Solve for x
    x = 247,480,243,828.22/461,754.10
  6. Step 6: Final answer
    x = 535,956.79

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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.