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Finding the Fourth Proportional to 408,022.80, 612,034.20 and 314,710.80

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Solution

The fourth proportional to 408,022.80, 612,034.20 and 314,710.80 is: 472,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,022.80 : 612,034.20 = 314,710.80 : x
  2. Step 2: Convert to fraction form
    408,022.80/612,034.20 = 314,710.80/x
  3. Step 3: Cross multiply
    408,022.80x = 612,034.20 × 314,710.80
  4. Step 4: Simplify right side
    408,022.80x = 192,613,772,709.36
  5. Step 5: Solve for x
    x = 192,613,772,709.36/408,022.80
  6. Step 6: Final answer
    x = 472,066.20

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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.