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Finding the Fourth Proportional to 450,849.54, 676,020.96 and 308,854.92

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Solution

The fourth proportional to 450,849.54, 676,020.96 and 308,854.92 is: 463,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,849.54 : 676,020.96 = 308,854.92 : x
  2. Step 2: Convert to fraction form
    450,849.54/676,020.96 = 308,854.92/x
  3. Step 3: Cross multiply
    450,849.54x = 676,020.96 × 308,854.92
  4. Step 4: Simplify right side
    450,849.54x = 208,792,399,519.12
  5. Step 5: Solve for x
    x = 208,792,399,519.12/450,849.54
  6. Step 6: Final answer
    x = 463,108.82

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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.