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Finding the Fourth Proportional to 409,950.95, 614,348.37 and 193,578.81

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Solution

The fourth proportional to 409,950.95, 614,348.37 and 193,578.81 is: 290,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,950.95 : 614,348.37 = 193,578.81 : x
  2. Step 2: Convert to fraction form
    409,950.95/614,348.37 = 193,578.81/x
  3. Step 3: Cross multiply
    409,950.95x = 614,348.37 × 193,578.81
  4. Step 4: Simplify right side
    409,950.95x = 118,924,828,086.38
  5. Step 5: Solve for x
    x = 118,924,828,086.38/409,950.95
  6. Step 6: Final answer
    x = 290,095.26

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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.