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Finding the Fourth Proportional to 472,031.09, 707,893.52 and 156,403.25

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Solution

The fourth proportional to 472,031.09, 707,893.52 and 156,403.25 is: 234,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,031.09 : 707,893.52 = 156,403.25 : x
  2. Step 2: Convert to fraction form
    472,031.09/707,893.52 = 156,403.25/x
  3. Step 3: Cross multiply
    472,031.09x = 707,893.52 × 156,403.25
  4. Step 4: Simplify right side
    472,031.09x = 110,716,846,399.92
  5. Step 5: Solve for x
    x = 110,716,846,399.92/472,031.09
  6. Step 6: Final answer
    x = 234,554.14

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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.