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Finding the Fourth Proportional to 732,292, 1,010,578.32 and 414,340

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Solution

The fourth proportional to 732,292, 1,010,578.32 and 414,340 is: 571,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,292 : 1,010,578.32 = 414,340 : x
  2. Step 2: Convert to fraction form
    732,292/1,010,578.32 = 414,340/x
  3. Step 3: Cross multiply
    732,292x = 1,010,578.32 × 414,340
  4. Step 4: Simplify right side
    732,292x = 418,723,021,108.80
  5. Step 5: Solve for x
    x = 418,723,021,108.80/732,292
  6. Step 6: Final answer
    x = 571,797.89

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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.