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Finding the Fourth Proportional to 477,679.68, 716,475.78 and 162,100.44

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Solution

The fourth proportional to 477,679.68, 716,475.78 and 162,100.44 is: 243,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,679.68 : 716,475.78 = 162,100.44 : x
  2. Step 2: Convert to fraction form
    477,679.68/716,475.78 = 162,100.44/x
  3. Step 3: Cross multiply
    477,679.68x = 716,475.78 × 162,100.44
  4. Step 4: Simplify right side
    477,679.68x = 116,141,039,187.34
  5. Step 5: Solve for x
    x = 116,141,039,187.34/477,679.68
  6. Step 6: Final answer
    x = 243,135.82

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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.