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Finding the Fourth Proportional to 519,681.30, 780,105.15 and 401,874.90

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Solution

The fourth proportional to 519,681.30, 780,105.15 and 401,874.90 is: 603,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,681.30 : 780,105.15 = 401,874.90 : x
  2. Step 2: Convert to fraction form
    519,681.30/780,105.15 = 401,874.90/x
  3. Step 3: Cross multiply
    519,681.30x = 780,105.15 × 401,874.90
  4. Step 4: Simplify right side
    519,681.30x = 313,504,679,145.74
  5. Step 5: Solve for x
    x = 313,504,679,145.74/519,681.30
  6. Step 6: Final answer
    x = 603,263.34

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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.