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Finding the Fourth Proportional to 461,887.84, 693,003.89 and 282,341.62

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Solution

The fourth proportional to 461,887.84, 693,003.89 and 282,341.62 is: 423,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,887.84 : 693,003.89 = 282,341.62 : x
  2. Step 2: Convert to fraction form
    461,887.84/693,003.89 = 282,341.62/x
  3. Step 3: Cross multiply
    461,887.84x = 693,003.89 × 282,341.62
  4. Step 4: Simplify right side
    461,887.84x = 195,663,840,968.90
  5. Step 5: Solve for x
    x = 195,663,840,968.90/461,887.84
  6. Step 6: Final answer
    x = 423,617.65

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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.