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Finding the Fourth Proportional to 706,033.46, 974,332.09 and 383,743.47

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Solution

The fourth proportional to 706,033.46, 974,332.09 and 383,743.47 is: 529,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,033.46 : 974,332.09 = 383,743.47 : x
  2. Step 2: Convert to fraction form
    706,033.46/974,332.09 = 383,743.47/x
  3. Step 3: Cross multiply
    706,033.46x = 974,332.09 × 383,743.47
  4. Step 4: Simplify right side
    706,033.46x = 373,893,581,282.38
  5. Step 5: Solve for x
    x = 373,893,581,282.38/706,033.46
  6. Step 6: Final answer
    x = 529,569.21

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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.