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Finding the Fourth Proportional to 296,707.56, 409,456.86 and 175,908

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Solution

The fourth proportional to 296,707.56, 409,456.86 and 175,908 is: 242,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,707.56 : 409,456.86 = 175,908 : x
  2. Step 2: Convert to fraction form
    296,707.56/409,456.86 = 175,908/x
  3. Step 3: Cross multiply
    296,707.56x = 409,456.86 × 175,908
  4. Step 4: Simplify right side
    296,707.56x = 72,026,737,328.88
  5. Step 5: Solve for x
    x = 72,026,737,328.88/296,707.56
  6. Step 6: Final answer
    x = 242,753.29

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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.