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Finding the Fourth Proportional to 296,273.65, 408,855.40 and 160,307.18

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Solution

The fourth proportional to 296,273.65, 408,855.40 and 160,307.18 is: 221,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,273.65 : 408,855.40 = 160,307.18 : x
  2. Step 2: Convert to fraction form
    296,273.65/408,855.40 = 160,307.18/x
  3. Step 3: Cross multiply
    296,273.65x = 408,855.40 × 160,307.18
  4. Step 4: Simplify right side
    296,273.65x = 65,542,454,140.03
  5. Step 5: Solve for x
    x = 65,542,454,140.03/296,273.65
  6. Step 6: Final answer
    x = 221,222.69

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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.