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Finding the Fourth Proportional to 280,405.80, 386,965.86 and 153,086.76

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Solution

The fourth proportional to 280,405.80, 386,965.86 and 153,086.76 is: 211,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,405.80 : 386,965.86 = 153,086.76 : x
  2. Step 2: Convert to fraction form
    280,405.80/386,965.86 = 153,086.76/x
  3. Step 3: Cross multiply
    280,405.80x = 386,965.86 × 153,086.76
  4. Step 4: Simplify right side
    280,405.80x = 59,239,349,738.01
  5. Step 5: Solve for x
    x = 59,239,349,738.01/280,405.80
  6. Step 6: Final answer
    x = 211,262.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.