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Finding the Fourth Proportional to 296,454.66, 409,106.93 and 160,488.56

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Solution

The fourth proportional to 296,454.66, 409,106.93 and 160,488.56 is: 221,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,454.66 : 409,106.93 = 160,488.56 : x
  2. Step 2: Convert to fraction form
    296,454.66/409,106.93 = 160,488.56/x
  3. Step 3: Cross multiply
    296,454.66x = 409,106.93 × 160,488.56
  4. Step 4: Simplify right side
    296,454.66x = 65,656,979,233.74
  5. Step 5: Solve for x
    x = 65,656,979,233.74/296,454.66
  6. Step 6: Final answer
    x = 221,473.93

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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.