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Finding the Fourth Proportional to 409,954.23, 614,950.11 and 125,624.25

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Solution

The fourth proportional to 409,954.23, 614,950.11 and 125,624.25 is: 188,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,954.23 : 614,950.11 = 125,624.25 : x
  2. Step 2: Convert to fraction form
    409,954.23/614,950.11 = 125,624.25/x
  3. Step 3: Cross multiply
    409,954.23x = 614,950.11 × 125,624.25
  4. Step 4: Simplify right side
    409,954.23x = 77,252,646,356.17
  5. Step 5: Solve for x
    x = 77,252,646,356.17/409,954.23
  6. Step 6: Final answer
    x = 188,442.13

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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.