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Finding the Fourth Proportional to 332,176.80, 497,746.80 and 287,594.40

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Solution

The fourth proportional to 332,176.80, 497,746.80 and 287,594.40 is: 430,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,176.80 : 497,746.80 = 287,594.40 : x
  2. Step 2: Convert to fraction form
    332,176.80/497,746.80 = 287,594.40/x
  3. Step 3: Cross multiply
    332,176.80x = 497,746.80 × 287,594.40
  4. Step 4: Simplify right side
    332,176.80x = 143,149,192,297.92
  5. Step 5: Solve for x
    x = 143,149,192,297.92/332,176.80
  6. Step 6: Final answer
    x = 430,942.78

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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.