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Finding the Fourth Proportional to 473,476.80, 710,314.56 and 136,516.80

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Solution

The fourth proportional to 473,476.80, 710,314.56 and 136,516.80 is: 204,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,476.80 : 710,314.56 = 136,516.80 : x
  2. Step 2: Convert to fraction form
    473,476.80/710,314.56 = 136,516.80/x
  3. Step 3: Cross multiply
    473,476.80x = 710,314.56 × 136,516.80
  4. Step 4: Simplify right side
    473,476.80x = 96,969,870,724.61
  5. Step 5: Solve for x
    x = 96,969,870,724.61/473,476.80
  6. Step 6: Final answer
    x = 204,803.85

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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.