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Finding the Fourth Proportional to 477,772.16, 716,158.46 and 178,122.38

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Solution

The fourth proportional to 477,772.16, 716,158.46 and 178,122.38 is: 266,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,772.16 : 716,158.46 = 178,122.38 : x
  2. Step 2: Convert to fraction form
    477,772.16/716,158.46 = 178,122.38/x
  3. Step 3: Cross multiply
    477,772.16x = 716,158.46 × 178,122.38
  4. Step 4: Simplify right side
    477,772.16x = 127,563,846,216.85
  5. Step 5: Solve for x
    x = 127,563,846,216.85/477,772.16
  6. Step 6: Final answer
    x = 266,997.24

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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.