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Finding the Fourth Proportional to 429,296.62, 592,399.65 and 238,294.97

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Solution

The fourth proportional to 429,296.62, 592,399.65 and 238,294.97 is: 328,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,296.62 : 592,399.65 = 238,294.97 : x
  2. Step 2: Convert to fraction form
    429,296.62/592,399.65 = 238,294.97/x
  3. Step 3: Cross multiply
    429,296.62x = 592,399.65 × 238,294.97
  4. Step 4: Simplify right side
    429,296.62x = 141,165,859,199.37
  5. Step 5: Solve for x
    x = 141,165,859,199.37/429,296.62
  6. Step 6: Final answer
    x = 328,830.59

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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.