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Finding the Fourth Proportional to 296,475.90, 408,969.71 and 187,546.49

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Solution

The fourth proportional to 296,475.90, 408,969.71 and 187,546.49 is: 258,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,475.90 : 408,969.71 = 187,546.49 : x
  2. Step 2: Convert to fraction form
    296,475.90/408,969.71 = 187,546.49/x
  3. Step 3: Cross multiply
    296,475.90x = 408,969.71 × 187,546.49
  4. Step 4: Simplify right side
    296,475.90x = 76,700,832,881.17
  5. Step 5: Solve for x
    x = 76,700,832,881.17/296,475.90
  6. Step 6: Final answer
    x = 258,708.49

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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.