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Finding the Fourth Proportional to 477,697.50, 716,543.01 and 122,711.76

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Solution

The fourth proportional to 477,697.50, 716,543.01 and 122,711.76 is: 184,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,697.50 : 716,543.01 = 122,711.76 : x
  2. Step 2: Convert to fraction form
    477,697.50/716,543.01 = 122,711.76/x
  3. Step 3: Cross multiply
    477,697.50x = 716,543.01 × 122,711.76
  4. Step 4: Simplify right side
    477,697.50x = 87,928,253,872.80
  5. Step 5: Solve for x
    x = 87,928,253,872.80/477,697.50
  6. Step 6: Final answer
    x = 184,066.81

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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.