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Finding the Fourth Proportional to 342,515.18, 514,084.42 and 182,726.58

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Solution

The fourth proportional to 342,515.18, 514,084.42 and 182,726.58 is: 274,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,515.18 : 514,084.42 = 182,726.58 : x
  2. Step 2: Convert to fraction form
    342,515.18/514,084.42 = 182,726.58/x
  3. Step 3: Cross multiply
    342,515.18x = 514,084.42 × 182,726.58
  4. Step 4: Simplify right side
    342,515.18x = 93,936,890,054.11
  5. Step 5: Solve for x
    x = 93,936,890,054.11/342,515.18
  6. Step 6: Final answer
    x = 274,256.13

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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.