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Finding the Fourth Proportional to 463,209.20, 694,813.80 and 456,210.80

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Solution

The fourth proportional to 463,209.20, 694,813.80 and 456,210.80 is: 684,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,209.20 : 694,813.80 = 456,210.80 : x
  2. Step 2: Convert to fraction form
    463,209.20/694,813.80 = 456,210.80/x
  3. Step 3: Cross multiply
    463,209.20x = 694,813.80 × 456,210.80
  4. Step 4: Simplify right side
    463,209.20x = 316,981,559,549.04
  5. Step 5: Solve for x
    x = 316,981,559,549.04/463,209.20
  6. Step 6: Final answer
    x = 684,316.20

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Similar ratio
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1.5x scale

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.