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Finding the Fourth Proportional to 409,307.18, 613,983.51 and 125,040.92

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Solution

The fourth proportional to 409,307.18, 613,983.51 and 125,040.92 is: 187,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,307.18 : 613,983.51 = 125,040.92 : x
  2. Step 2: Convert to fraction form
    409,307.18/613,983.51 = 125,040.92/x
  3. Step 3: Cross multiply
    409,307.18x = 613,983.51 × 125,040.92
  4. Step 4: Simplify right side
    409,307.18x = 76,773,059,885.31
  5. Step 5: Solve for x
    x = 76,773,059,885.31/409,307.18
  6. Step 6: Final answer
    x = 187,568.32

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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.