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Finding the Fourth Proportional to 477,775.92, 716,770.44 and 145,377.84

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Solution

The fourth proportional to 477,775.92, 716,770.44 and 145,377.84 is: 218,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,775.92 : 716,770.44 = 145,377.84 : x
  2. Step 2: Convert to fraction form
    477,775.92/716,770.44 = 145,377.84/x
  3. Step 3: Cross multiply
    477,775.92x = 716,770.44 × 145,377.84
  4. Step 4: Simplify right side
    477,775.92x = 104,202,538,343.05
  5. Step 5: Solve for x
    x = 104,202,538,343.05/477,775.92
  6. Step 6: Final answer
    x = 218,099.18

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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.