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Finding the Fourth Proportional to 477,000.68, 715,056.32 and 161,236.76

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Solution

The fourth proportional to 477,000.68, 715,056.32 and 161,236.76 is: 241,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,000.68 : 715,056.32 = 161,236.76 : x
  2. Step 2: Convert to fraction form
    477,000.68/715,056.32 = 161,236.76/x
  3. Step 3: Cross multiply
    477,000.68x = 715,056.32 × 161,236.76
  4. Step 4: Simplify right side
    477,000.68x = 115,293,360,679.04
  5. Step 5: Solve for x
    x = 115,293,360,679.04/477,000.68
  6. Step 6: Final answer
    x = 241,704.82

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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.