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Finding the Fourth Proportional to 650,610.40, 974,014.80 and 463,986.40

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Solution

The fourth proportional to 650,610.40, 974,014.80 and 463,986.40 is: 694,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,610.40 : 974,014.80 = 463,986.40 : x
  2. Step 2: Convert to fraction form
    650,610.40/974,014.80 = 463,986.40/x
  3. Step 3: Cross multiply
    650,610.40x = 974,014.80 × 463,986.40
  4. Step 4: Simplify right side
    650,610.40x = 451,929,620,598.72
  5. Step 5: Solve for x
    x = 451,929,620,598.72/650,610.40
  6. Step 6: Final answer
    x = 694,624.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.