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Finding the Fourth Proportional to 732,689.88, 1,011,106 and 410,403

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Solution

The fourth proportional to 732,689.88, 1,011,106 and 410,403 is: 566,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,689.88 : 1,011,106 = 410,403 : x
  2. Step 2: Convert to fraction form
    732,689.88/1,011,106 = 410,403/x
  3. Step 3: Cross multiply
    732,689.88x = 1,011,106 × 410,403
  4. Step 4: Simplify right side
    732,689.88x = 414,960,935,718
  5. Step 5: Solve for x
    x = 414,960,935,718/732,689.88
  6. Step 6: Final answer
    x = 566,352.76

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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.