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Finding the Fourth Proportional to 429,677.36, 592,934.64 and 238,702.40

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Solution

The fourth proportional to 429,677.36, 592,934.64 and 238,702.40 is: 329,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,677.36 : 592,934.64 = 238,702.40 : x
  2. Step 2: Convert to fraction form
    429,677.36/592,934.64 = 238,702.40/x
  3. Step 3: Cross multiply
    429,677.36x = 592,934.64 × 238,702.40
  4. Step 4: Simplify right side
    429,677.36x = 141,534,921,611.14
  5. Step 5: Solve for x
    x = 141,534,921,611.14/429,677.36
  6. Step 6: Final answer
    x = 329,398.14

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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.