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Finding the Fourth Proportional to 384,522.68, 576,409.13 and 153,642.86

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Solution

The fourth proportional to 384,522.68, 576,409.13 and 153,642.86 is: 230,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,522.68 : 576,409.13 = 153,642.86 : x
  2. Step 2: Convert to fraction form
    384,522.68/576,409.13 = 153,642.86/x
  3. Step 3: Cross multiply
    384,522.68x = 576,409.13 × 153,642.86
  4. Step 4: Simplify right side
    384,522.68x = 88,561,146,350.75
  5. Step 5: Solve for x
    x = 88,561,146,350.75/384,522.68
  6. Step 6: Final answer
    x = 230,314.49

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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.