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Finding the Fourth Proportional to 755,592.29, 1,042,712.90 and 411,427.40

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Solution

The fourth proportional to 755,592.29, 1,042,712.90 and 411,427.40 is: 567,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,592.29 : 1,042,712.90 = 411,427.40 : x
  2. Step 2: Convert to fraction form
    755,592.29/1,042,712.90 = 411,427.40/x
  3. Step 3: Cross multiply
    755,592.29x = 1,042,712.90 × 411,427.40
  4. Step 4: Simplify right side
    755,592.29x = 429,000,650,122.76
  5. Step 5: Solve for x
    x = 429,000,650,122.76/755,592.29
  6. Step 6: Final answer
    x = 567,767.38

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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.