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Finding the Fourth Proportional to 791,978.40, 1,092,924.95 and 429,401.13

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Solution

The fourth proportional to 791,978.40, 1,092,924.95 and 429,401.13 is: 592,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,978.40 : 1,092,924.95 = 429,401.13 : x
  2. Step 2: Convert to fraction form
    791,978.40/1,092,924.95 = 429,401.13/x
  3. Step 3: Cross multiply
    791,978.40x = 1,092,924.95 × 429,401.13
  4. Step 4: Simplify right side
    791,978.40x = 469,303,206,388.19
  5. Step 5: Solve for x
    x = 469,303,206,388.19/791,978.40
  6. Step 6: Final answer
    x = 592,570.71

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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.