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Finding the Fourth Proportional to 384,919.56, 577,402.92 and 148,262.94

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Solution

The fourth proportional to 384,919.56, 577,402.92 and 148,262.94 is: 222,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,919.56 : 577,402.92 = 148,262.94 : x
  2. Step 2: Convert to fraction form
    384,919.56/577,402.92 = 148,262.94/x
  3. Step 3: Cross multiply
    384,919.56x = 577,402.92 × 148,262.94
  4. Step 4: Simplify right side
    384,919.56x = 85,607,454,483.78
  5. Step 5: Solve for x
    x = 85,607,454,483.78/384,919.56
  6. Step 6: Final answer
    x = 222,403.49

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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.