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Finding the Fourth Proportional to 409,454.76, 565,169.24 and 258,652.20

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Solution

The fourth proportional to 409,454.76, 565,169.24 and 258,652.20 is: 357,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,454.76 : 565,169.24 = 258,652.20 : x
  2. Step 2: Convert to fraction form
    409,454.76/565,169.24 = 258,652.20/x
  3. Step 3: Cross multiply
    409,454.76x = 565,169.24 × 258,652.20
  4. Step 4: Simplify right side
    409,454.76x = 146,182,267,298.33
  5. Step 5: Solve for x
    x = 146,182,267,298.33/409,454.76
  6. Step 6: Final answer
    x = 357,016.90

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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.