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Finding the Fourth Proportional to 389,524.64, 584,301.44 and 109,034.56

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Solution

The fourth proportional to 389,524.64, 584,301.44 and 109,034.56 is: 163,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,524.64 : 584,301.44 = 109,034.56 : x
  2. Step 2: Convert to fraction form
    389,524.64/584,301.44 = 109,034.56/x
  3. Step 3: Cross multiply
    389,524.64x = 584,301.44 × 109,034.56
  4. Step 4: Simplify right side
    389,524.64x = 63,709,050,417.77
  5. Step 5: Solve for x
    x = 63,709,050,417.77/389,524.64
  6. Step 6: Final answer
    x = 163,555.89

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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.