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Finding the Fourth Proportional to 847,224, 1,169,169.12 and 465,257.16

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Solution

The fourth proportional to 847,224, 1,169,169.12 and 465,257.16 is: 642,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,224 : 1,169,169.12 = 465,257.16 : x
  2. Step 2: Convert to fraction form
    847,224/1,169,169.12 = 465,257.16/x
  3. Step 3: Cross multiply
    847,224x = 1,169,169.12 × 465,257.16
  4. Step 4: Simplify right side
    847,224x = 543,964,304,330.90
  5. Step 5: Solve for x
    x = 543,964,304,330.90/847,224
  6. Step 6: Final answer
    x = 642,054.88

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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.