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Finding the Fourth Proportional to 409,401.28, 614,017.22 and 109,810.58

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Solution

The fourth proportional to 409,401.28, 614,017.22 and 109,810.58 is: 164,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,401.28 : 614,017.22 = 109,810.58 : x
  2. Step 2: Convert to fraction form
    409,401.28/614,017.22 = 109,810.58/x
  3. Step 3: Cross multiply
    409,401.28x = 614,017.22 × 109,810.58
  4. Step 4: Simplify right side
    409,401.28x = 67,425,587,058.19
  5. Step 5: Solve for x
    x = 67,425,587,058.19/409,401.28
  6. Step 6: Final answer
    x = 164,693.15

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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.