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Finding the Fourth Proportional to 456,019.60, 684,029.40 and 408,780.40

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Solution

The fourth proportional to 456,019.60, 684,029.40 and 408,780.40 is: 613,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,019.60 : 684,029.40 = 408,780.40 : x
  2. Step 2: Convert to fraction form
    456,019.60/684,029.40 = 408,780.40/x
  3. Step 3: Cross multiply
    456,019.60x = 684,029.40 × 408,780.40
  4. Step 4: Simplify right side
    456,019.60x = 279,617,811,743.76
  5. Step 5: Solve for x
    x = 279,617,811,743.76/456,019.60
  6. Step 6: Final answer
    x = 613,170.60

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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.