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Finding the Fourth Proportional to 532,841.64, 799,577.70 and 196,118.79

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Solution

The fourth proportional to 532,841.64, 799,577.70 and 196,118.79 is: 294,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,841.64 : 799,577.70 = 196,118.79 : x
  2. Step 2: Convert to fraction form
    532,841.64/799,577.70 = 196,118.79/x
  3. Step 3: Cross multiply
    532,841.64x = 799,577.70 × 196,118.79
  4. Step 4: Simplify right side
    532,841.64x = 156,812,211,034.98
  5. Step 5: Solve for x
    x = 156,812,211,034.98/532,841.64
  6. Step 6: Final answer
    x = 294,294.21

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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.