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Finding the Fourth Proportional to 296,337.19, 408,942.13 and 160,368.13

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Solution

The fourth proportional to 296,337.19, 408,942.13 and 160,368.13 is: 221,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,337.19 : 408,942.13 = 160,368.13 : x
  2. Step 2: Convert to fraction form
    296,337.19/408,942.13 = 160,368.13/x
  3. Step 3: Cross multiply
    296,337.19x = 408,942.13 × 160,368.13
  4. Step 4: Simplify right side
    296,337.19x = 65,581,284,666.32
  5. Step 5: Solve for x
    x = 65,581,284,666.32/296,337.19
  6. Step 6: Final answer
    x = 221,306.29

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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.