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Finding the Fourth Proportional to 414,976.80, 623,048.40 and 257,512.80

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Solution

The fourth proportional to 414,976.80, 623,048.40 and 257,512.80 is: 386,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,976.80 : 623,048.40 = 257,512.80 : x
  2. Step 2: Convert to fraction form
    414,976.80/623,048.40 = 257,512.80/x
  3. Step 3: Cross multiply
    414,976.80x = 623,048.40 × 257,512.80
  4. Step 4: Simplify right side
    414,976.80x = 160,442,938,019.52
  5. Step 5: Solve for x
    x = 160,442,938,019.52/414,976.80
  6. Step 6: Final answer
    x = 386,631.10

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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.