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Finding the Fourth Proportional to 456,015.40, 684,023.10 and 123,591.40

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Solution

The fourth proportional to 456,015.40, 684,023.10 and 123,591.40 is: 185,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,015.40 : 684,023.10 = 123,591.40 : x
  2. Step 2: Convert to fraction form
    456,015.40/684,023.10 = 123,591.40/x
  3. Step 3: Cross multiply
    456,015.40x = 684,023.10 × 123,591.40
  4. Step 4: Simplify right side
    456,015.40x = 84,539,372,561.34
  5. Step 5: Solve for x
    x = 84,539,372,561.34/456,015.40
  6. Step 6: Final answer
    x = 185,387.10

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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.