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Finding the Fourth Proportional to 532,645.86, 797,416 and 279,325.64

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Solution

The fourth proportional to 532,645.86, 797,416 and 279,325.64 is: 418,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,645.86 : 797,416 = 279,325.64 : x
  2. Step 2: Convert to fraction form
    532,645.86/797,416 = 279,325.64/x
  3. Step 3: Cross multiply
    532,645.86x = 797,416 × 279,325.64
  4. Step 4: Simplify right side
    532,645.86x = 222,738,734,546.24
  5. Step 5: Solve for x
    x = 222,738,734,546.24/532,645.86
  6. Step 6: Final answer
    x = 418,174.16

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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.