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Finding the Fourth Proportional to 416,257.89, 573,957.03 and 307,519.56

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Solution

The fourth proportional to 416,257.89, 573,957.03 and 307,519.56 is: 424,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,257.89 : 573,957.03 = 307,519.56 : x
  2. Step 2: Convert to fraction form
    416,257.89/573,957.03 = 307,519.56/x
  3. Step 3: Cross multiply
    416,257.89x = 573,957.03 × 307,519.56
  4. Step 4: Simplify right side
    416,257.89x = 176,503,013,324.51
  5. Step 5: Solve for x
    x = 176,503,013,324.51/416,257.89
  6. Step 6: Final answer
    x = 424,023.23

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1.5x scale

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.