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Finding the Fourth Proportional to 413,314.60, 619,388.70 and 202,487.80

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Solution

The fourth proportional to 413,314.60, 619,388.70 and 202,487.80 is: 303,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,314.60 : 619,388.70 = 202,487.80 : x
  2. Step 2: Convert to fraction form
    413,314.60/619,388.70 = 202,487.80/x
  3. Step 3: Cross multiply
    413,314.60x = 619,388.70 × 202,487.80
  4. Step 4: Simplify right side
    413,314.60x = 125,418,655,207.86
  5. Step 5: Solve for x
    x = 125,418,655,207.86/413,314.60
  6. Step 6: Final answer
    x = 303,445.98

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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.