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Finding the Fourth Proportional to 415,802.85, 623,706.36 and 116,284.56

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Solution

The fourth proportional to 415,802.85, 623,706.36 and 116,284.56 is: 174,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,802.85 : 623,706.36 = 116,284.56 : x
  2. Step 2: Convert to fraction form
    415,802.85/623,706.36 = 116,284.56/x
  3. Step 3: Cross multiply
    415,802.85x = 623,706.36 × 116,284.56
  4. Step 4: Simplify right side
    415,802.85x = 72,527,419,641.80
  5. Step 5: Solve for x
    x = 72,527,419,641.80/415,802.85
  6. Step 6: Final answer
    x = 174,427.42

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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.