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Finding the Fourth Proportional to 310,704, 465,053.52 and 160,737.76

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Solution

The fourth proportional to 310,704, 465,053.52 and 160,737.76 is: 240,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,704 : 465,053.52 = 160,737.76 : x
  2. Step 2: Convert to fraction form
    310,704/465,053.52 = 160,737.76/x
  3. Step 3: Cross multiply
    310,704x = 465,053.52 × 160,737.76
  4. Step 4: Simplify right side
    310,704x = 74,751,661,084.92
  5. Step 5: Solve for x
    x = 74,751,661,084.92/310,704
  6. Step 6: Final answer
    x = 240,588.02

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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.