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Finding the Fourth Proportional to 409,345.31, 614,017.98 and 125,024.37

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Solution

The fourth proportional to 409,345.31, 614,017.98 and 125,024.37 is: 187,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,345.31 : 614,017.98 = 125,024.37 : x
  2. Step 2: Convert to fraction form
    409,345.31/614,017.98 = 125,024.37/x
  3. Step 3: Cross multiply
    409,345.31x = 614,017.98 × 125,024.37
  4. Step 4: Simplify right side
    409,345.31x = 76,767,211,118.17
  5. Step 5: Solve for x
    x = 76,767,211,118.17/409,345.31
  6. Step 6: Final answer
    x = 187,536.56

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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.