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Finding the Fourth Proportional to 389,357.38, 537,312.29 and 217,264.78

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Solution

The fourth proportional to 389,357.38, 537,312.29 and 217,264.78 is: 299,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,357.38 : 537,312.29 = 217,264.78 : x
  2. Step 2: Convert to fraction form
    389,357.38/537,312.29 = 217,264.78/x
  3. Step 3: Cross multiply
    389,357.38x = 537,312.29 × 217,264.78
  4. Step 4: Simplify right side
    389,357.38x = 116,739,036,063.46
  5. Step 5: Solve for x
    x = 116,739,036,063.46/389,357.38
  6. Step 6: Final answer
    x = 299,824.90

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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.