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Finding the Fourth Proportional to 312,608.12, 468,527.45 and 177,785.33

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Solution

The fourth proportional to 312,608.12, 468,527.45 and 177,785.33 is: 266,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,608.12 : 468,527.45 = 177,785.33 : x
  2. Step 2: Convert to fraction form
    312,608.12/468,527.45 = 177,785.33/x
  3. Step 3: Cross multiply
    312,608.12x = 468,527.45 × 177,785.33
  4. Step 4: Simplify right side
    312,608.12x = 83,297,304,080.74
  5. Step 5: Solve for x
    x = 83,297,304,080.74/312,608.12
  6. Step 6: Final answer
    x = 266,459.19

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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.