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Finding the Fourth Proportional to 456,103.40, 684,155.10 and 442,981.40

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Solution

The fourth proportional to 456,103.40, 684,155.10 and 442,981.40 is: 664,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,103.40 : 684,155.10 = 442,981.40 : x
  2. Step 2: Convert to fraction form
    456,103.40/684,155.10 = 442,981.40/x
  3. Step 3: Cross multiply
    456,103.40x = 684,155.10 × 442,981.40
  4. Step 4: Simplify right side
    456,103.40x = 303,067,984,015.14
  5. Step 5: Solve for x
    x = 303,067,984,015.14/456,103.40
  6. Step 6: Final answer
    x = 664,472.10

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Double scale
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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.