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Finding the Fourth Proportional to 408,875.51, 564,248.22 and 227,583.56

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Solution

The fourth proportional to 408,875.51, 564,248.22 and 227,583.56 is: 314,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,875.51 : 564,248.22 = 227,583.56 : x
  2. Step 2: Convert to fraction form
    408,875.51/564,248.22 = 227,583.56/x
  3. Step 3: Cross multiply
    408,875.51x = 564,248.22 × 227,583.56
  4. Step 4: Simplify right side
    408,875.51x = 128,413,615,810.02
  5. Step 5: Solve for x
    x = 128,413,615,810.02/408,875.51
  6. Step 6: Final answer
    x = 314,065.32

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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.