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Finding the Fourth Proportional to 429,089.71, 592,171.47 and 238,103.11

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Solution

The fourth proportional to 429,089.71, 592,171.47 and 238,103.11 is: 328,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,089.71 : 592,171.47 = 238,103.11 : x
  2. Step 2: Convert to fraction form
    429,089.71/592,171.47 = 238,103.11/x
  3. Step 3: Cross multiply
    429,089.71x = 592,171.47 × 238,103.11
  4. Step 4: Simplify right side
    429,089.71x = 140,997,868,660.27
  5. Step 5: Solve for x
    x = 140,997,868,660.27/429,089.71
  6. Step 6: Final answer
    x = 328,597.65

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Why These Related Problems?

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