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Finding the Fourth Proportional to 409,864.51, 614,837.75 and 125,551.76

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Solution

The fourth proportional to 409,864.51, 614,837.75 and 125,551.76 is: 188,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,864.51 : 614,837.75 = 125,551.76 : x
  2. Step 2: Convert to fraction form
    409,864.51/614,837.75 = 125,551.76/x
  3. Step 3: Cross multiply
    409,864.51x = 614,837.75 × 125,551.76
  4. Step 4: Simplify right side
    409,864.51x = 77,193,961,626.94
  5. Step 5: Solve for x
    x = 77,193,961,626.94/409,864.51
  6. Step 6: Final answer
    x = 188,340.19

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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.