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Finding the Fourth Proportional to 409,283.01, 564,816.38 and 234,881.60

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Solution

The fourth proportional to 409,283.01, 564,816.38 and 234,881.60 is: 324,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,283.01 : 564,816.38 = 234,881.60 : x
  2. Step 2: Convert to fraction form
    409,283.01/564,816.38 = 234,881.60/x
  3. Step 3: Cross multiply
    409,283.01x = 564,816.38 × 234,881.60
  4. Step 4: Simplify right side
    409,283.01x = 132,664,975,040.61
  5. Step 5: Solve for x
    x = 132,664,975,040.61/409,283.01
  6. Step 6: Final answer
    x = 324,139.95

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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.