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Finding the Fourth Proportional to 471,582.75, 650,783.12 and 256,724.31

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Solution

The fourth proportional to 471,582.75, 650,783.12 and 256,724.31 is: 354,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,582.75 : 650,783.12 = 256,724.31 : x
  2. Step 2: Convert to fraction form
    471,582.75/650,783.12 = 256,724.31/x
  3. Step 3: Cross multiply
    471,582.75x = 650,783.12 × 256,724.31
  4. Step 4: Simplify right side
    471,582.75x = 167,071,846,158.03
  5. Step 5: Solve for x
    x = 167,071,846,158.03/471,582.75
  6. Step 6: Final answer
    x = 354,278.96

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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.