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Finding the Fourth Proportional to 409,533.88, 565,444.92 and 287,286.16

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Solution

The fourth proportional to 409,533.88, 565,444.92 and 287,286.16 is: 396,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,533.88 : 565,444.92 = 287,286.16 : x
  2. Step 2: Convert to fraction form
    409,533.88/565,444.92 = 287,286.16/x
  3. Step 3: Cross multiply
    409,533.88x = 565,444.92 × 287,286.16
  4. Step 4: Simplify right side
    409,533.88x = 162,444,499,758.31
  5. Step 5: Solve for x
    x = 162,444,499,758.31/409,533.88
  6. Step 6: Final answer
    x = 396,657.05

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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.