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Finding the Fourth Proportional to 409,537.84, 614,316.48 and 110,018.80

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Solution

The fourth proportional to 409,537.84, 614,316.48 and 110,018.80 is: 165,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,537.84 : 614,316.48 = 110,018.80 : x
  2. Step 2: Convert to fraction form
    409,537.84/614,316.48 = 110,018.80/x
  3. Step 3: Cross multiply
    409,537.84x = 614,316.48 × 110,018.80
  4. Step 4: Simplify right side
    409,537.84x = 67,586,361,949.82
  5. Step 5: Solve for x
    x = 67,586,361,949.82/409,537.84
  6. Step 6: Final answer
    x = 165,030.81

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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.