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Finding the Fourth Proportional to 650,676.06, 977,512.59 and 461,605.86

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Solution

The fourth proportional to 650,676.06, 977,512.59 and 461,605.86 is: 693,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,676.06 : 977,512.59 = 461,605.86 : x
  2. Step 2: Convert to fraction form
    650,676.06/977,512.59 = 461,605.86/x
  3. Step 3: Cross multiply
    650,676.06x = 977,512.59 × 461,605.86
  4. Step 4: Simplify right side
    650,676.06x = 451,225,539,767.78
  5. Step 5: Solve for x
    x = 451,225,539,767.78/650,676.06
  6. Step 6: Final answer
    x = 693,471.86

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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.