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Finding the Fourth Proportional to 489,476.40, 733,631.40 and 205,166.40

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Solution

The fourth proportional to 489,476.40, 733,631.40 and 205,166.40 is: 307,505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,476.40 : 733,631.40 = 205,166.40 : x
  2. Step 2: Convert to fraction form
    489,476.40/733,631.40 = 205,166.40/x
  3. Step 3: Cross multiply
    489,476.40x = 733,631.40 × 205,166.40
  4. Step 4: Simplify right side
    489,476.40x = 150,516,513,264.96
  5. Step 5: Solve for x
    x = 150,516,513,264.96/489,476.40
  6. Step 6: Final answer
    x = 307,505.15

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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.