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Finding the Fourth Proportional to 732,690.88, 1,011,107.38 and 410,404

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Solution

The fourth proportional to 732,690.88, 1,011,107.38 and 410,404 is: 566,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,690.88 : 1,011,107.38 = 410,404 : x
  2. Step 2: Convert to fraction form
    732,690.88/1,011,107.38 = 410,404/x
  3. Step 3: Cross multiply
    732,690.88x = 1,011,107.38 × 410,404
  4. Step 4: Simplify right side
    732,690.88x = 414,962,513,181.52
  5. Step 5: Solve for x
    x = 414,962,513,181.52/732,690.88
  6. Step 6: Final answer
    x = 566,354.14

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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.