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Finding the Fourth Proportional to 429,901.43, 593,264.25 and 238,914.77

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Solution

The fourth proportional to 429,901.43, 593,264.25 and 238,914.77 is: 329,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,901.43 : 593,264.25 = 238,914.77 : x
  2. Step 2: Convert to fraction form
    429,901.43/593,264.25 = 238,914.77/x
  3. Step 3: Cross multiply
    429,901.43x = 593,264.25 × 238,914.77
  4. Step 4: Simplify right side
    429,901.43x = 141,739,588,871.65
  5. Step 5: Solve for x
    x = 141,739,588,871.65/429,901.43
  6. Step 6: Final answer
    x = 329,702.53

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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.