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Finding the Fourth Proportional to 296,304.59, 408,901.41 and 160,338.53

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Solution

The fourth proportional to 296,304.59, 408,901.41 and 160,338.53 is: 221,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,304.59 : 408,901.41 = 160,338.53 : x
  2. Step 2: Convert to fraction form
    296,304.59/408,901.41 = 160,338.53/x
  3. Step 3: Cross multiply
    296,304.59x = 408,901.41 × 160,338.53
  4. Step 4: Simplify right side
    296,304.59x = 65,562,650,994.33
  5. Step 5: Solve for x
    x = 65,562,650,994.33/296,304.59
  6. Step 6: Final answer
    x = 221,267.75

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1.5x scale

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.