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Finding the Fourth Proportional to 312,005.20, 468,008.58 and 101,659.52

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Solution

The fourth proportional to 312,005.20, 468,008.58 and 101,659.52 is: 152,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,005.20 : 468,008.58 = 101,659.52 : x
  2. Step 2: Convert to fraction form
    312,005.20/468,008.58 = 101,659.52/x
  3. Step 3: Cross multiply
    312,005.20x = 468,008.58 × 101,659.52
  4. Step 4: Simplify right side
    312,005.20x = 47,577,527,598.68
  5. Step 5: Solve for x
    x = 47,577,527,598.68/312,005.20
  6. Step 6: Final answer
    x = 152,489.53

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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.