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Finding the Fourth Proportional to 458,506.80, 687,760.20 and 318,538.80

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Solution

The fourth proportional to 458,506.80, 687,760.20 and 318,538.80 is: 477,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,506.80 : 687,760.20 = 318,538.80 : x
  2. Step 2: Convert to fraction form
    458,506.80/687,760.20 = 318,538.80/x
  3. Step 3: Cross multiply
    458,506.80x = 687,760.20 × 318,538.80
  4. Step 4: Simplify right side
    458,506.80x = 219,078,308,795.76
  5. Step 5: Solve for x
    x = 219,078,308,795.76/458,506.80
  6. Step 6: Final answer
    x = 477,808.20

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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.