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Finding the Fourth Proportional to 296,282.99, 408,869.40 and 160,317.20

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Solution

The fourth proportional to 296,282.99, 408,869.40 and 160,317.20 is: 221,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,282.99 : 408,869.40 = 160,317.20 : x
  2. Step 2: Convert to fraction form
    296,282.99/408,869.40 = 160,317.20/x
  3. Step 3: Cross multiply
    296,282.99x = 408,869.40 × 160,317.20
  4. Step 4: Simplify right side
    296,282.99x = 65,548,797,373.68
  5. Step 5: Solve for x
    x = 65,548,797,373.68/296,282.99
  6. Step 6: Final answer
    x = 221,237.13

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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.