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Finding the Fourth Proportional to 409,571.71, 614,357.02 and 190,459.82

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Solution

The fourth proportional to 409,571.71, 614,357.02 and 190,459.82 is: 285,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,571.71 : 614,357.02 = 190,459.82 : x
  2. Step 2: Convert to fraction form
    409,571.71/614,357.02 = 190,459.82/x
  3. Step 3: Cross multiply
    409,571.71x = 614,357.02 × 190,459.82
  4. Step 4: Simplify right side
    409,571.71x = 117,010,327,444.94
  5. Step 5: Solve for x
    x = 117,010,327,444.94/409,571.71
  6. Step 6: Final answer
    x = 285,689.48

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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.