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Finding the Fourth Proportional to 522,062.90, 783,094.35 and 457,781.30

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Solution

The fourth proportional to 522,062.90, 783,094.35 and 457,781.30 is: 686,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,062.90 : 783,094.35 = 457,781.30 : x
  2. Step 2: Convert to fraction form
    522,062.90/783,094.35 = 457,781.30/x
  3. Step 3: Cross multiply
    522,062.90x = 783,094.35 × 457,781.30
  4. Step 4: Simplify right side
    522,062.90x = 358,485,949,565.66
  5. Step 5: Solve for x
    x = 358,485,949,565.66/522,062.90
  6. Step 6: Final answer
    x = 686,671.95

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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.