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Finding the Fourth Proportional to 417,741.76, 626,406.96 and 151,462.48

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Solution

The fourth proportional to 417,741.76, 626,406.96 and 151,462.48 is: 227,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,741.76 : 626,406.96 = 151,462.48 : x
  2. Step 2: Convert to fraction form
    417,741.76/626,406.96 = 151,462.48/x
  3. Step 3: Cross multiply
    417,741.76x = 626,406.96 × 151,462.48
  4. Step 4: Simplify right side
    417,741.76x = 94,877,151,650.86
  5. Step 5: Solve for x
    x = 94,877,151,650.86/417,741.76
  6. Step 6: Final answer
    x = 227,119.15

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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.