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Finding the Fourth Proportional to 477,806.47, 716,209.92 and 178,156.69

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Solution

The fourth proportional to 477,806.47, 716,209.92 and 178,156.69 is: 267,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,806.47 : 716,209.92 = 178,156.69 : x
  2. Step 2: Convert to fraction form
    477,806.47/716,209.92 = 178,156.69/x
  3. Step 3: Cross multiply
    477,806.47x = 716,209.92 × 178,156.69
  4. Step 4: Simplify right side
    477,806.47x = 127,597,586,901.84
  5. Step 5: Solve for x
    x = 127,597,586,901.84/477,806.47
  6. Step 6: Final answer
    x = 267,048.68

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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.