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Finding the Fourth Proportional to 474,541.76, 654,802.88 and 283,514.56

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Solution

The fourth proportional to 474,541.76, 654,802.88 and 283,514.56 is: 391,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,541.76 : 654,802.88 = 283,514.56 : x
  2. Step 2: Convert to fraction form
    474,541.76/654,802.88 = 283,514.56/x
  3. Step 3: Cross multiply
    474,541.76x = 654,802.88 × 283,514.56
  4. Step 4: Simplify right side
    474,541.76x = 185,646,150,409.93
  5. Step 5: Solve for x
    x = 185,646,150,409.93/474,541.76
  6. Step 6: Final answer
    x = 391,211.41

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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.