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Finding the Fourth Proportional to 313,165.57, 432,280.56 and 185,841.16

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Solution

The fourth proportional to 313,165.57, 432,280.56 and 185,841.16 is: 256,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,165.57 : 432,280.56 = 185,841.16 : x
  2. Step 2: Convert to fraction form
    313,165.57/432,280.56 = 185,841.16/x
  3. Step 3: Cross multiply
    313,165.57x = 432,280.56 × 185,841.16
  4. Step 4: Simplify right side
    313,165.57x = 80,335,520,715.85
  5. Step 5: Solve for x
    x = 80,335,520,715.85/313,165.57
  6. Step 6: Final answer
    x = 256,527.31

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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.