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Finding the Fourth Proportional to 732,294, 1,010,581.08 and 414,342

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Solution

The fourth proportional to 732,294, 1,010,581.08 and 414,342 is: 571,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,294 : 1,010,581.08 = 414,342 : x
  2. Step 2: Convert to fraction form
    732,294/1,010,581.08 = 414,342/x
  3. Step 3: Cross multiply
    732,294x = 1,010,581.08 × 414,342
  4. Step 4: Simplify right side
    732,294x = 418,726,185,849.36
  5. Step 5: Solve for x
    x = 418,726,185,849.36/732,294
  6. Step 6: Final answer
    x = 571,800.65

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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.