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Finding the Fourth Proportional to 473,527.38, 710,327.52 and 157,983.78

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Solution

The fourth proportional to 473,527.38, 710,327.52 and 157,983.78 is: 236,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,527.38 : 710,327.52 = 157,983.78 : x
  2. Step 2: Convert to fraction form
    473,527.38/710,327.52 = 157,983.78/x
  3. Step 3: Cross multiply
    473,527.38x = 710,327.52 × 157,983.78
  4. Step 4: Simplify right side
    473,527.38x = 112,220,226,647.63
  5. Step 5: Solve for x
    x = 112,220,226,647.63/473,527.38
  6. Step 6: Final answer
    x = 236,987.83

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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.