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Finding the Fourth Proportional to 275,784.30, 413,382.15 and 157,200.30

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Solution

The fourth proportional to 275,784.30, 413,382.15 and 157,200.30 is: 235,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,784.30 : 413,382.15 = 157,200.30 : x
  2. Step 2: Convert to fraction form
    275,784.30/413,382.15 = 157,200.30/x
  3. Step 3: Cross multiply
    275,784.30x = 413,382.15 × 157,200.30
  4. Step 4: Simplify right side
    275,784.30x = 64,983,797,994.65
  5. Step 5: Solve for x
    x = 64,983,797,994.65/275,784.30
  6. Step 6: Final answer
    x = 235,632.70

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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.