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Finding the Fourth Proportional to 359,967.24, 496,760.04 and 209,064.24

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Solution

The fourth proportional to 359,967.24, 496,760.04 and 209,064.24 is: 288,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,967.24 : 496,760.04 = 209,064.24 : x
  2. Step 2: Convert to fraction form
    359,967.24/496,760.04 = 209,064.24/x
  3. Step 3: Cross multiply
    359,967.24x = 496,760.04 × 209,064.24
  4. Step 4: Simplify right side
    359,967.24x = 103,854,760,224.97
  5. Step 5: Solve for x
    x = 103,854,760,224.97/359,967.24
  6. Step 6: Final answer
    x = 288,511.70

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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.