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Finding the Fourth Proportional to 310,404.86, 465,353.40 and 160,687.90

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Solution

The fourth proportional to 310,404.86, 465,353.40 and 160,687.90 is: 240,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,404.86 : 465,353.40 = 160,687.90 : x
  2. Step 2: Convert to fraction form
    310,404.86/465,353.40 = 160,687.90/x
  3. Step 3: Cross multiply
    310,404.86x = 465,353.40 × 160,687.90
  4. Step 4: Simplify right side
    310,404.86x = 74,776,661,788.13
  5. Step 5: Solve for x
    x = 74,776,661,788.13/310,404.86
  6. Step 6: Final answer
    x = 240,900.42

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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.