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Finding the Fourth Proportional to 409,895.40, 614,843.10 and 378,402.60

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Solution

The fourth proportional to 409,895.40, 614,843.10 and 378,402.60 is: 567,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,895.40 : 614,843.10 = 378,402.60 : x
  2. Step 2: Convert to fraction form
    409,895.40/614,843.10 = 378,402.60/x
  3. Step 3: Cross multiply
    409,895.40x = 614,843.10 × 378,402.60
  4. Step 4: Simplify right side
    409,895.40x = 232,658,227,632.06
  5. Step 5: Solve for x
    x = 232,658,227,632.06/409,895.40
  6. Step 6: Final answer
    x = 567,603.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.