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Finding the Fourth Proportional to 524,858.22, 724,652.94 and 403,785.90

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Solution

The fourth proportional to 524,858.22, 724,652.94 and 403,785.90 is: 557,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,858.22 : 724,652.94 = 403,785.90 : x
  2. Step 2: Convert to fraction form
    524,858.22/724,652.94 = 403,785.90/x
  3. Step 3: Cross multiply
    524,858.22x = 724,652.94 × 403,785.90
  4. Step 4: Simplify right side
    524,858.22x = 292,604,639,565.55
  5. Step 5: Solve for x
    x = 292,604,639,565.55/524,858.22
  6. Step 6: Final answer
    x = 557,492.73

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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.