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Finding the Fourth Proportional to 522,024.90, 783,037.35 and 457,743.30

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Solution

The fourth proportional to 522,024.90, 783,037.35 and 457,743.30 is: 686,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,024.90 : 783,037.35 = 457,743.30 : x
  2. Step 2: Convert to fraction form
    522,024.90/783,037.35 = 457,743.30/x
  3. Step 3: Cross multiply
    522,024.90x = 783,037.35 × 457,743.30
  4. Step 4: Simplify right side
    522,024.90x = 358,430,100,612.26
  5. Step 5: Solve for x
    x = 358,430,100,612.26/522,024.90
  6. Step 6: Final answer
    x = 686,614.95

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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.