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Finding the Fourth Proportional to 499,686.14, 748,328.18 and 285,805.86

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Solution

The fourth proportional to 499,686.14, 748,328.18 and 285,805.86 is: 428,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,686.14 : 748,328.18 = 285,805.86 : x
  2. Step 2: Convert to fraction form
    499,686.14/748,328.18 = 285,805.86/x
  3. Step 3: Cross multiply
    499,686.14x = 748,328.18 × 285,805.86
  4. Step 4: Simplify right side
    499,686.14x = 213,876,577,618.11
  5. Step 5: Solve for x
    x = 213,876,577,618.11/499,686.14
  6. Step 6: Final answer
    x = 428,021.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.