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Finding the Fourth Proportional to 467,938.49, 645,755.49 and 253,078.29

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Solution

The fourth proportional to 467,938.49, 645,755.49 and 253,078.29 is: 349,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,938.49 : 645,755.49 = 253,078.29 : x
  2. Step 2: Convert to fraction form
    467,938.49/645,755.49 = 253,078.29/x
  3. Step 3: Cross multiply
    467,938.49x = 645,755.49 × 253,078.29
  4. Step 4: Simplify right side
    467,938.49x = 163,426,695,167.31
  5. Step 5: Solve for x
    x = 163,426,695,167.31/467,938.49
  6. Step 6: Final answer
    x = 349,248.25

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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.