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Finding the Fourth Proportional to 384,522.93, 576,409.50 and 153,643.11

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Solution

The fourth proportional to 384,522.93, 576,409.50 and 153,643.11 is: 230,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,522.93 : 576,409.50 = 153,643.11 : x
  2. Step 2: Convert to fraction form
    384,522.93/576,409.50 = 153,643.11/x
  3. Step 3: Cross multiply
    384,522.93x = 576,409.50 × 153,643.11
  4. Step 4: Simplify right side
    384,522.93x = 88,561,348,213.55
  5. Step 5: Solve for x
    x = 88,561,348,213.55/384,522.93
  6. Step 6: Final answer
    x = 230,314.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.