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Finding the Fourth Proportional to 429,105.84, 592,164.14 and 238,118.80

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Solution

The fourth proportional to 429,105.84, 592,164.14 and 238,118.80 is: 328,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,105.84 : 592,164.14 = 238,118.80 : x
  2. Step 2: Convert to fraction form
    429,105.84/592,164.14 = 238,118.80/x
  3. Step 3: Cross multiply
    429,105.84x = 592,164.14 × 238,118.80
  4. Step 4: Simplify right side
    429,105.84x = 141,005,414,419.83
  5. Step 5: Solve for x
    x = 141,005,414,419.83/429,105.84
  6. Step 6: Final answer
    x = 328,602.88

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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.