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Finding the Fourth Proportional to 429,007.64, 592,030.64 and 238,020.57

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Solution

The fourth proportional to 429,007.64, 592,030.64 and 238,020.57 is: 328,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,007.64 : 592,030.64 = 238,020.57 : x
  2. Step 2: Convert to fraction form
    429,007.64/592,030.64 = 238,020.57/x
  3. Step 3: Cross multiply
    429,007.64x = 592,030.64 × 238,020.57
  4. Step 4: Simplify right side
    429,007.64x = 140,915,469,200.16
  5. Step 5: Solve for x
    x = 140,915,469,200.16/429,007.64
  6. Step 6: Final answer
    x = 328,468.44

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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.