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Finding the Fourth Proportional to 357,809.80, 493,824.24 and 230,854.72

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Solution

The fourth proportional to 357,809.80, 493,824.24 and 230,854.72 is: 318,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,809.80 : 493,824.24 = 230,854.72 : x
  2. Step 2: Convert to fraction form
    357,809.80/493,824.24 = 230,854.72/x
  3. Step 3: Cross multiply
    357,809.80x = 493,824.24 × 230,854.72
  4. Step 4: Simplify right side
    357,809.80x = 114,001,656,654.41
  5. Step 5: Solve for x
    x = 114,001,656,654.41/357,809.80
  6. Step 6: Final answer
    x = 318,609.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.