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Finding the Fourth Proportional to 318,478.52, 477,780.42 and 105,237.83

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Solution

The fourth proportional to 318,478.52, 477,780.42 and 105,237.83 is: 157,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,478.52 : 477,780.42 = 105,237.83 : x
  2. Step 2: Convert to fraction form
    318,478.52/477,780.42 = 105,237.83/x
  3. Step 3: Cross multiply
    318,478.52x = 477,780.42 × 105,237.83
  4. Step 4: Simplify right side
    318,478.52x = 50,280,574,617.29
  5. Step 5: Solve for x
    x = 50,280,574,617.29/318,478.52
  6. Step 6: Final answer
    x = 157,877.44

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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.