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Finding the Fourth Proportional to 521,666.52, 781,970.40 and 296,561.88

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Solution

The fourth proportional to 521,666.52, 781,970.40 and 296,561.88 is: 444,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,666.52 : 781,970.40 = 296,561.88 : x
  2. Step 2: Convert to fraction form
    521,666.52/781,970.40 = 296,561.88/x
  3. Step 3: Cross multiply
    521,666.52x = 781,970.40 × 296,561.88
  4. Step 4: Simplify right side
    521,666.52x = 231,902,611,928.35
  5. Step 5: Solve for x
    x = 231,902,611,928.35/521,666.52
  6. Step 6: Final answer
    x = 444,541.87

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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.