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Finding the Fourth Proportional to 416,407.28, 574,637.28 and 225,416.48

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Solution

The fourth proportional to 416,407.28, 574,637.28 and 225,416.48 is: 311,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,407.28 : 574,637.28 = 225,416.48 : x
  2. Step 2: Convert to fraction form
    416,407.28/574,637.28 = 225,416.48/x
  3. Step 3: Cross multiply
    416,407.28x = 574,637.28 × 225,416.48
  4. Step 4: Simplify right side
    416,407.28x = 129,532,712,934.37
  5. Step 5: Solve for x
    x = 129,532,712,934.37/416,407.28
  6. Step 6: Final answer
    x = 311,072.16

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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.