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Finding the Fourth Proportional to 503,363.84, 755,308.40 and 204,065.60

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Solution

The fourth proportional to 503,363.84, 755,308.40 and 204,065.60 is: 306,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,363.84 : 755,308.40 = 204,065.60 : x
  2. Step 2: Convert to fraction form
    503,363.84/755,308.40 = 204,065.60/x
  3. Step 3: Cross multiply
    503,363.84x = 755,308.40 × 204,065.60
  4. Step 4: Simplify right side
    503,363.84x = 154,132,457,034.17
  5. Step 5: Solve for x
    x = 154,132,457,034.17/503,363.84
  6. Step 6: Final answer
    x = 306,204.87

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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.