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Finding the Fourth Proportional to 472,031.59, 707,894.27 and 156,403.75

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Solution

The fourth proportional to 472,031.59, 707,894.27 and 156,403.75 is: 234,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,031.59 : 707,894.27 = 156,403.75 : x
  2. Step 2: Convert to fraction form
    472,031.59/707,894.27 = 156,403.75/x
  3. Step 3: Cross multiply
    472,031.59x = 707,894.27 × 156,403.75
  4. Step 4: Simplify right side
    472,031.59x = 110,717,317,649.49
  5. Step 5: Solve for x
    x = 110,717,317,649.49/472,031.59
  6. Step 6: Final answer
    x = 234,554.89

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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.