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Finding the Fourth Proportional to 296,475.17, 409,130.78 and 160,508.00

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Solution

The fourth proportional to 296,475.17, 409,130.78 and 160,508.00 is: 221,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,475.17 : 409,130.78 = 160,508.00 : x
  2. Step 2: Convert to fraction form
    296,475.17/409,130.78 = 160,508.00/x
  3. Step 3: Cross multiply
    296,475.17x = 409,130.78 × 160,508.00
  4. Step 4: Simplify right side
    296,475.17x = 65,668,763,456.53
  5. Step 5: Solve for x
    x = 65,668,763,456.53/296,475.17
  6. Step 6: Final answer
    x = 221,498.36

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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.