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Finding the Fourth Proportional to 489,397.90, 733,513.65 and 205,087.90

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Solution

The fourth proportional to 489,397.90, 733,513.65 and 205,087.90 is: 307,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,397.90 : 733,513.65 = 205,087.90 : x
  2. Step 2: Convert to fraction form
    489,397.90/733,513.65 = 205,087.90/x
  3. Step 3: Cross multiply
    489,397.90x = 733,513.65 × 205,087.90
  4. Step 4: Simplify right side
    489,397.90x = 150,434,774,099.84
  5. Step 5: Solve for x
    x = 150,434,774,099.84/489,397.90
  6. Step 6: Final answer
    x = 307,387.45

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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.