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Finding the Fourth Proportional to 532,861.04, 799,606.80 and 196,138.16

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Solution

The fourth proportional to 532,861.04, 799,606.80 and 196,138.16 is: 294,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,861.04 : 799,606.80 = 196,138.16 : x
  2. Step 2: Convert to fraction form
    532,861.04/799,606.80 = 196,138.16/x
  3. Step 3: Cross multiply
    532,861.04x = 799,606.80 × 196,138.16
  4. Step 4: Simplify right side
    532,861.04x = 156,833,406,475.49
  5. Step 5: Solve for x
    x = 156,833,406,475.49/532,861.04
  6. Step 6: Final answer
    x = 294,323.28

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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.