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Finding the Fourth Proportional to 296,305.59, 408,902.79 and 160,339.53

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Solution

The fourth proportional to 296,305.59, 408,902.79 and 160,339.53 is: 221,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,305.59 : 408,902.79 = 160,339.53 : x
  2. Step 2: Convert to fraction form
    296,305.59/408,902.79 = 160,339.53/x
  3. Step 3: Cross multiply
    296,305.59x = 408,902.79 × 160,339.53
  4. Step 4: Simplify right side
    296,305.59x = 65,563,281,164.29
  5. Step 5: Solve for x
    x = 65,563,281,164.29/296,305.59
  6. Step 6: Final answer
    x = 221,269.13

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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.