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Finding the Fourth Proportional to 477,642.29, 716,440.03 and 178,099.45

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Solution

The fourth proportional to 477,642.29, 716,440.03 and 178,099.45 is: 267,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,642.29 : 716,440.03 = 178,099.45 : x
  2. Step 2: Convert to fraction form
    477,642.29/716,440.03 = 178,099.45/x
  3. Step 3: Cross multiply
    477,642.29x = 716,440.03 × 178,099.45
  4. Step 4: Simplify right side
    477,642.29x = 127,597,571,806.69
  5. Step 5: Solve for x
    x = 127,597,571,806.69/477,642.29
  6. Step 6: Final answer
    x = 267,140.44

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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.