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Finding the Fourth Proportional to 296,329.27, 408,935.40 and 160,363.18

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Solution

The fourth proportional to 296,329.27, 408,935.40 and 160,363.18 is: 221,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,329.27 : 408,935.40 = 160,363.18 : x
  2. Step 2: Convert to fraction form
    296,329.27/408,935.40 = 160,363.18/x
  3. Step 3: Cross multiply
    296,329.27x = 408,935.40 × 160,363.18
  4. Step 4: Simplify right side
    296,329.27x = 65,578,181,158.57
  5. Step 5: Solve for x
    x = 65,578,181,158.57/296,329.27
  6. Step 6: Final answer
    x = 221,301.74

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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.