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Finding the Fourth Proportional to 438,414.30, 657,484.76 and 172,256.40

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Solution

The fourth proportional to 438,414.30, 657,484.76 and 172,256.40 is: 258,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,414.30 : 657,484.76 = 172,256.40 : x
  2. Step 2: Convert to fraction form
    438,414.30/657,484.76 = 172,256.40/x
  3. Step 3: Cross multiply
    438,414.30x = 657,484.76 × 172,256.40
  4. Step 4: Simplify right side
    438,414.30x = 113,255,958,243.11
  5. Step 5: Solve for x
    x = 113,255,958,243.11/438,414.30
  6. Step 6: Final answer
    x = 258,330.89

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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.