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Finding the Fourth Proportional to 458,127, 687,279.96 and 138,304.80

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Solution

The fourth proportional to 458,127, 687,279.96 and 138,304.80 is: 207,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,127 : 687,279.96 = 138,304.80 : x
  2. Step 2: Convert to fraction form
    458,127/687,279.96 = 138,304.80/x
  3. Step 3: Cross multiply
    458,127x = 687,279.96 × 138,304.80
  4. Step 4: Simplify right side
    458,127x = 95,054,117,411.81
  5. Step 5: Solve for x
    x = 95,054,117,411.81/458,127
  6. Step 6: Final answer
    x = 207,484.21

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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.