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Finding the Fourth Proportional to 295,228.28, 407,297.76 and 181,854.20

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Solution

The fourth proportional to 295,228.28, 407,297.76 and 181,854.20 is: 250,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,228.28 : 407,297.76 = 181,854.20 : x
  2. Step 2: Convert to fraction form
    295,228.28/407,297.76 = 181,854.20/x
  3. Step 3: Cross multiply
    295,228.28x = 407,297.76 × 181,854.20
  4. Step 4: Simplify right side
    295,228.28x = 74,068,808,306.59
  5. Step 5: Solve for x
    x = 74,068,808,306.59/295,228.28
  6. Step 6: Final answer
    x = 250,886.56

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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.