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Finding the Fourth Proportional to 477,974.89, 717,070.34 and 158,126

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Solution

The fourth proportional to 477,974.89, 717,070.34 and 158,126 is: 237,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,974.89 : 717,070.34 = 158,126 : x
  2. Step 2: Convert to fraction form
    477,974.89/717,070.34 = 158,126/x
  3. Step 3: Cross multiply
    477,974.89x = 717,070.34 × 158,126
  4. Step 4: Simplify right side
    477,974.89x = 113,387,464,582.84
  5. Step 5: Solve for x
    x = 113,387,464,582.84/477,974.89
  6. Step 6: Final answer
    x = 237,224.73

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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.