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Finding the Fourth Proportional to 408,848.54, 564,205.24 and 227,560.52

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Solution

The fourth proportional to 408,848.54, 564,205.24 and 227,560.52 is: 314,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,848.54 : 564,205.24 = 227,560.52 : x
  2. Step 2: Convert to fraction form
    408,848.54/564,205.24 = 227,560.52/x
  3. Step 3: Cross multiply
    408,848.54x = 564,205.24 × 227,560.52
  4. Step 4: Simplify right side
    408,848.54x = 128,390,837,801.13
  5. Step 5: Solve for x
    x = 128,390,837,801.13/408,848.54
  6. Step 6: Final answer
    x = 314,030.32

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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.