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Finding the Fourth Proportional to 517,787.92, 714,501.84 and 288,327.88

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Solution

The fourth proportional to 517,787.92, 714,501.84 and 288,327.88 is: 397,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,787.92 : 714,501.84 = 288,327.88 : x
  2. Step 2: Convert to fraction form
    517,787.92/714,501.84 = 288,327.88/x
  3. Step 3: Cross multiply
    517,787.92x = 714,501.84 × 288,327.88
  4. Step 4: Simplify right side
    517,787.92x = 206,010,800,783.30
  5. Step 5: Solve for x
    x = 206,010,800,783.30/517,787.92
  6. Step 6: Final answer
    x = 397,867.14

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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.