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Finding the Fourth Proportional to 284,363.67, 392,582.03 and 197,274.60

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Solution

The fourth proportional to 284,363.67, 392,582.03 and 197,274.60 is: 272,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,363.67 : 392,582.03 = 197,274.60 : x
  2. Step 2: Convert to fraction form
    284,363.67/392,582.03 = 197,274.60/x
  3. Step 3: Cross multiply
    284,363.67x = 392,582.03 × 197,274.60
  4. Step 4: Simplify right side
    284,363.67x = 77,446,460,972.53
  5. Step 5: Solve for x
    x = 77,446,460,972.53/284,363.67
  6. Step 6: Final answer
    x = 272,350.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.