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Finding the Fourth Proportional to 650,551.50, 898,315.11 and 409,237.92

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Solution

The fourth proportional to 650,551.50, 898,315.11 and 409,237.92 is: 565,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,551.50 : 898,315.11 = 409,237.92 : x
  2. Step 2: Convert to fraction form
    650,551.50/898,315.11 = 409,237.92/x
  3. Step 3: Cross multiply
    650,551.50x = 898,315.11 × 409,237.92
  4. Step 4: Simplify right side
    650,551.50x = 367,624,607,120.97
  5. Step 5: Solve for x
    x = 367,624,607,120.97/650,551.50
  6. Step 6: Final answer
    x = 565,096.86

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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.