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Finding the Fourth Proportional to 384,747.64, 577,121.60 and 100,437.38

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Solution

The fourth proportional to 384,747.64, 577,121.60 and 100,437.38 is: 150,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,747.64 : 577,121.60 = 100,437.38 : x
  2. Step 2: Convert to fraction form
    384,747.64/577,121.60 = 100,437.38/x
  3. Step 3: Cross multiply
    384,747.64x = 577,121.60 × 100,437.38
  4. Step 4: Simplify right side
    384,747.64x = 57,964,581,445.41
  5. Step 5: Solve for x
    x = 57,964,581,445.41/384,747.64
  6. Step 6: Final answer
    x = 150,656.11

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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.