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Finding the Fourth Proportional to 384,753.70, 577,140.45 and 182,302.30

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Solution

The fourth proportional to 384,753.70, 577,140.45 and 182,302.30 is: 273,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,753.70 : 577,140.45 = 182,302.30 : x
  2. Step 2: Convert to fraction form
    384,753.70/577,140.45 = 182,302.30/x
  3. Step 3: Cross multiply
    384,753.70x = 577,140.45 × 182,302.30
  4. Step 4: Simplify right side
    384,753.70x = 105,214,031,458.04
  5. Step 5: Solve for x
    x = 105,214,031,458.04/384,753.70
  6. Step 6: Final answer
    x = 273,458.14

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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.