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Finding the Fourth Proportional to 409,548.88, 614,281.80 and 109,990.54

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Solution

The fourth proportional to 409,548.88, 614,281.80 and 109,990.54 is: 164,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,548.88 : 614,281.80 = 109,990.54 : x
  2. Step 2: Convert to fraction form
    409,548.88/614,281.80 = 109,990.54/x
  3. Step 3: Cross multiply
    409,548.88x = 614,281.80 × 109,990.54
  4. Step 4: Simplify right side
    409,548.88x = 67,565,186,894.17
  5. Step 5: Solve for x
    x = 67,565,186,894.17/409,548.88
  6. Step 6: Final answer
    x = 164,974.66

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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.