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Finding the Fourth Proportional to 409,573.71, 614,360.02 and 190,461.82

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Solution

The fourth proportional to 409,573.71, 614,360.02 and 190,461.82 is: 285,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,573.71 : 614,360.02 = 190,461.82 : x
  2. Step 2: Convert to fraction form
    409,573.71/614,360.02 = 190,461.82/x
  3. Step 3: Cross multiply
    409,573.71x = 614,360.02 × 190,461.82
  4. Step 4: Simplify right side
    409,573.71x = 117,012,127,544.44
  5. Step 5: Solve for x
    x = 117,012,127,544.44/409,573.71
  6. Step 6: Final answer
    x = 285,692.48

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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.