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Finding the Fourth Proportional to 472,031.34, 707,893.89 and 156,403.50

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Solution

The fourth proportional to 472,031.34, 707,893.89 and 156,403.50 is: 234,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,031.34 : 707,893.89 = 156,403.50 : x
  2. Step 2: Convert to fraction form
    472,031.34/707,893.89 = 156,403.50/x
  3. Step 3: Cross multiply
    472,031.34x = 707,893.89 × 156,403.50
  4. Step 4: Simplify right side
    472,031.34x = 110,717,082,024.62
  5. Step 5: Solve for x
    x = 110,717,082,024.62/472,031.34
  6. Step 6: Final answer
    x = 234,554.52

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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.