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Finding the Fourth Proportional to 438,715.20, 658,850.40 and 339,117.60

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Solution

The fourth proportional to 438,715.20, 658,850.40 and 339,117.60 is: 509,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,715.20 : 658,850.40 = 339,117.60 : x
  2. Step 2: Convert to fraction form
    438,715.20/658,850.40 = 339,117.60/x
  3. Step 3: Cross multiply
    438,715.20x = 658,850.40 × 339,117.60
  4. Step 4: Simplify right side
    438,715.20x = 223,427,766,407.04
  5. Step 5: Solve for x
    x = 223,427,766,407.04/438,715.20
  6. Step 6: Final answer
    x = 509,277.47

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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.