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Finding the Fourth Proportional to 521,726.60, 782,897.10 and 189,259.40

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Solution

The fourth proportional to 521,726.60, 782,897.10 and 189,259.40 is: 284,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,726.60 : 782,897.10 = 189,259.40 : x
  2. Step 2: Convert to fraction form
    521,726.60/782,897.10 = 189,259.40/x
  3. Step 3: Cross multiply
    521,726.60x = 782,897.10 × 189,259.40
  4. Step 4: Simplify right side
    521,726.60x = 148,170,635,407.74
  5. Step 5: Solve for x
    x = 148,170,635,407.74/521,726.60
  6. Step 6: Final answer
    x = 284,000.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.