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Finding the Fourth Proportional to 429,047.82, 592,086.09 and 238,062.57

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Solution

The fourth proportional to 429,047.82, 592,086.09 and 238,062.57 is: 328,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,047.82 : 592,086.09 = 238,062.57 : x
  2. Step 2: Convert to fraction form
    429,047.82/592,086.09 = 238,062.57/x
  3. Step 3: Cross multiply
    429,047.82x = 592,086.09 × 238,062.57
  4. Step 4: Simplify right side
    429,047.82x = 140,953,536,246.65
  5. Step 5: Solve for x
    x = 140,953,536,246.65/429,047.82
  6. Step 6: Final answer
    x = 328,526.40

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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.