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Finding the Fourth Proportional to 429,286.38, 592,476.81 and 257,211.18

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Solution

The fourth proportional to 429,286.38, 592,476.81 and 257,211.18 is: 354,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,286.38 : 592,476.81 = 257,211.18 : x
  2. Step 2: Convert to fraction form
    429,286.38/592,476.81 = 257,211.18/x
  3. Step 3: Cross multiply
    429,286.38x = 592,476.81 × 257,211.18
  4. Step 4: Simplify right side
    429,286.38x = 152,391,659,422.74
  5. Step 5: Solve for x
    x = 152,391,659,422.74/429,286.38
  6. Step 6: Final answer
    x = 354,988.34

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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.