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Finding the Fourth Proportional to 564,127.54, 845,395.63 and 311,521.75

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Solution

The fourth proportional to 564,127.54, 845,395.63 and 311,521.75 is: 466,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,127.54 : 845,395.63 = 311,521.75 : x
  2. Step 2: Convert to fraction form
    564,127.54/845,395.63 = 311,521.75/x
  3. Step 3: Cross multiply
    564,127.54x = 845,395.63 × 311,521.75
  4. Step 4: Simplify right side
    564,127.54x = 263,359,124,959.97
  5. Step 5: Solve for x
    x = 263,359,124,959.97/564,127.54
  6. Step 6: Final answer
    x = 466,843.24

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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.