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Finding the Fourth Proportional to 300,095.53, 414,348.68 and 185,531.24

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Solution

The fourth proportional to 300,095.53, 414,348.68 and 185,531.24 is: 256,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,095.53 : 414,348.68 = 185,531.24 : x
  2. Step 2: Convert to fraction form
    300,095.53/414,348.68 = 185,531.24/x
  3. Step 3: Cross multiply
    300,095.53x = 414,348.68 × 185,531.24
  4. Step 4: Simplify right side
    300,095.53x = 76,874,624,235.74
  5. Step 5: Solve for x
    x = 76,874,624,235.74/300,095.53
  6. Step 6: Final answer
    x = 256,167.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.