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Finding the Fourth Proportional to 650,793.06, 977,688.09 and 461,722.86

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Solution

The fourth proportional to 650,793.06, 977,688.09 and 461,722.86 is: 693,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,793.06 : 977,688.09 = 461,722.86 : x
  2. Step 2: Convert to fraction form
    650,793.06/977,688.09 = 461,722.86/x
  3. Step 3: Cross multiply
    650,793.06x = 977,688.09 × 461,722.86
  4. Step 4: Simplify right side
    650,793.06x = 451,420,941,102.74
  5. Step 5: Solve for x
    x = 451,420,941,102.74/650,793.06
  6. Step 6: Final answer
    x = 693,647.44

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1.5x scale

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.