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Finding the Fourth Proportional to 429,208.32, 592,335.14 and 238,221.68

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Solution

The fourth proportional to 429,208.32, 592,335.14 and 238,221.68 is: 328,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,208.32 : 592,335.14 = 238,221.68 : x
  2. Step 2: Convert to fraction form
    429,208.32/592,335.14 = 238,221.68/x
  3. Step 3: Cross multiply
    429,208.32x = 592,335.14 × 238,221.68
  4. Step 4: Simplify right side
    429,208.32x = 141,107,072,173.84
  5. Step 5: Solve for x
    x = 141,107,072,173.84/429,208.32
  6. Step 6: Final answer
    x = 328,761.27

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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.