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Finding the Fourth Proportional to 574,208, 861,319.68 and 180,224

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Solution

The fourth proportional to 574,208, 861,319.68 and 180,224 is: 270,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,208 : 861,319.68 = 180,224 : x
  2. Step 2: Convert to fraction form
    574,208/861,319.68 = 180,224/x
  3. Step 3: Cross multiply
    574,208x = 861,319.68 × 180,224
  4. Step 4: Simplify right side
    574,208x = 155,230,478,008.32
  5. Step 5: Solve for x
    x = 155,230,478,008.32/574,208
  6. Step 6: Final answer
    x = 270,338.41

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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.