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Finding the Fourth Proportional to 477,807.98, 716,212.17 and 178,158.20

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Solution

The fourth proportional to 477,807.98, 716,212.17 and 178,158.20 is: 267,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,807.98 : 716,212.17 = 178,158.20 : x
  2. Step 2: Convert to fraction form
    477,807.98/716,212.17 = 178,158.20/x
  3. Step 3: Cross multiply
    477,807.98x = 716,212.17 × 178,158.20
  4. Step 4: Simplify right side
    477,807.98x = 127,599,067,444.23
  5. Step 5: Solve for x
    x = 127,599,067,444.23/477,807.98
  6. Step 6: Final answer
    x = 267,050.94

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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.