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Finding the Fourth Proportional to 491,254.48, 737,219.94 and 171,408.16

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Solution

The fourth proportional to 491,254.48, 737,219.94 and 171,408.16 is: 257,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,254.48 : 737,219.94 = 171,408.16 : x
  2. Step 2: Convert to fraction form
    491,254.48/737,219.94 = 171,408.16/x
  3. Step 3: Cross multiply
    491,254.48x = 737,219.94 × 171,408.16
  4. Step 4: Simplify right side
    491,254.48x = 126,365,513,430.71
  5. Step 5: Solve for x
    x = 126,365,513,430.71/491,254.48
  6. Step 6: Final answer
    x = 257,230.25

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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.