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Finding the Fourth Proportional to 456,477.80, 684,716.70 and 140,934.20

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Solution

The fourth proportional to 456,477.80, 684,716.70 and 140,934.20 is: 211,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,477.80 : 684,716.70 = 140,934.20 : x
  2. Step 2: Convert to fraction form
    456,477.80/684,716.70 = 140,934.20/x
  3. Step 3: Cross multiply
    456,477.80x = 684,716.70 × 140,934.20
  4. Step 4: Simplify right side
    456,477.80x = 96,500,000,341.14
  5. Step 5: Solve for x
    x = 96,500,000,341.14/456,477.80
  6. Step 6: Final answer
    x = 211,401.30

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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.