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Finding the Fourth Proportional to 477,642.80, 716,440.78 and 178,099.95

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Solution

The fourth proportional to 477,642.80, 716,440.78 and 178,099.95 is: 267,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,642.80 : 716,440.78 = 178,099.95 : x
  2. Step 2: Convert to fraction form
    477,642.80/716,440.78 = 178,099.95/x
  3. Step 3: Cross multiply
    477,642.80x = 716,440.78 × 178,099.95
  4. Step 4: Simplify right side
    477,642.80x = 127,598,062,623.26
  5. Step 5: Solve for x
    x = 127,598,062,623.26/477,642.80
  6. Step 6: Final answer
    x = 267,141.19

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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.