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Finding the Fourth Proportional to 532,932.98, 735,438.59 and 291,209.97

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Solution

The fourth proportional to 532,932.98, 735,438.59 and 291,209.97 is: 401,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,932.98 : 735,438.59 = 291,209.97 : x
  2. Step 2: Convert to fraction form
    532,932.98/735,438.59 = 291,209.97/x
  3. Step 3: Cross multiply
    532,932.98x = 735,438.59 × 291,209.97
  4. Step 4: Simplify right side
    532,932.98x = 214,167,052,124.63
  5. Step 5: Solve for x
    x = 214,167,052,124.63/532,932.98
  6. Step 6: Final answer
    x = 401,864.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.