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Finding the Fourth Proportional to 429,216.72, 592,291.08 and 238,220.88

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Solution

The fourth proportional to 429,216.72, 592,291.08 and 238,220.88 is: 328,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,216.72 : 592,291.08 = 238,220.88 : x
  2. Step 2: Convert to fraction form
    429,216.72/592,291.08 = 238,220.88/x
  3. Step 3: Cross multiply
    429,216.72x = 592,291.08 × 238,220.88
  4. Step 4: Simplify right side
    429,216.72x = 141,096,102,293.75
  5. Step 5: Solve for x
    x = 141,096,102,293.75/429,216.72
  6. Step 6: Final answer
    x = 328,729.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.