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Finding the Fourth Proportional to 408,975.60, 613,463.40 and 259,384.80

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Solution

The fourth proportional to 408,975.60, 613,463.40 and 259,384.80 is: 389,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,975.60 : 613,463.40 = 259,384.80 : x
  2. Step 2: Convert to fraction form
    408,975.60/613,463.40 = 259,384.80/x
  3. Step 3: Cross multiply
    408,975.60x = 613,463.40 × 259,384.80
  4. Step 4: Simplify right side
    408,975.60x = 159,123,081,316.32
  5. Step 5: Solve for x
    x = 159,123,081,316.32/408,975.60
  6. Step 6: Final answer
    x = 389,077.20

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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.