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Finding the Fourth Proportional to 354,973.98, 532,717.89 and 138,864.59

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Solution

The fourth proportional to 354,973.98, 532,717.89 and 138,864.59 is: 208,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,973.98 : 532,717.89 = 138,864.59 : x
  2. Step 2: Convert to fraction form
    354,973.98/532,717.89 = 138,864.59/x
  3. Step 3: Cross multiply
    354,973.98x = 532,717.89 × 138,864.59
  4. Step 4: Simplify right side
    354,973.98x = 73,975,648,716.93
  5. Step 5: Solve for x
    x = 73,975,648,716.93/354,973.98
  6. Step 6: Final answer
    x = 208,397.38

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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.