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Finding the Fourth Proportional to 471,624.96, 650,854.13 and 256,776.81

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Solution

The fourth proportional to 471,624.96, 650,854.13 and 256,776.81 is: 354,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,624.96 : 650,854.13 = 256,776.81 : x
  2. Step 2: Convert to fraction form
    471,624.96/650,854.13 = 256,776.81/x
  3. Step 3: Cross multiply
    471,624.96x = 650,854.13 × 256,776.81
  4. Step 4: Simplify right side
    471,624.96x = 167,124,247,276.73
  5. Step 5: Solve for x
    x = 167,124,247,276.73/471,624.96
  6. Step 6: Final answer
    x = 354,358.36

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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.