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Finding the Fourth Proportional to 438,417.30, 657,489.26 and 172,259.40

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Solution

The fourth proportional to 438,417.30, 657,489.26 and 172,259.40 is: 258,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,417.30 : 657,489.26 = 172,259.40 : x
  2. Step 2: Convert to fraction form
    438,417.30/657,489.26 = 172,259.40/x
  3. Step 3: Cross multiply
    438,417.30x = 657,489.26 × 172,259.40
  4. Step 4: Simplify right side
    438,417.30x = 113,258,705,434.04
  5. Step 5: Solve for x
    x = 113,258,705,434.04/438,417.30
  6. Step 6: Final answer
    x = 258,335.39

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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.