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Finding the Fourth Proportional to 415,862.10, 623,793.15 and 166,722.90

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Solution

The fourth proportional to 415,862.10, 623,793.15 and 166,722.90 is: 250,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,862.10 : 623,793.15 = 166,722.90 : x
  2. Step 2: Convert to fraction form
    415,862.10/623,793.15 = 166,722.90/x
  3. Step 3: Cross multiply
    415,862.10x = 623,793.15 × 166,722.90
  4. Step 4: Simplify right side
    415,862.10x = 104,000,602,968.14
  5. Step 5: Solve for x
    x = 104,000,602,968.14/415,862.10
  6. Step 6: Final answer
    x = 250,084.35

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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.