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Finding the Fourth Proportional to 415,419.40, 623,129.10 and 257,825.80

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Solution

The fourth proportional to 415,419.40, 623,129.10 and 257,825.80 is: 386,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,419.40 : 623,129.10 = 257,825.80 : x
  2. Step 2: Convert to fraction form
    415,419.40/623,129.10 = 257,825.80/x
  3. Step 3: Cross multiply
    415,419.40x = 623,129.10 × 257,825.80
  4. Step 4: Simplify right side
    415,419.40x = 160,658,758,710.78
  5. Step 5: Solve for x
    x = 160,658,758,710.78/415,419.40
  6. Step 6: Final answer
    x = 386,738.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.