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Finding the Fourth Proportional to 650,584.50, 898,360.65 and 409,270.92

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Solution

The fourth proportional to 650,584.50, 898,360.65 and 409,270.92 is: 565,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,584.50 : 898,360.65 = 409,270.92 : x
  2. Step 2: Convert to fraction form
    650,584.50/898,360.65 = 409,270.92/x
  3. Step 3: Cross multiply
    650,584.50x = 898,360.65 × 409,270.92
  4. Step 4: Simplify right side
    650,584.50x = 367,672,889,717.30
  5. Step 5: Solve for x
    x = 367,672,889,717.30/650,584.50
  6. Step 6: Final answer
    x = 565,142.41

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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.