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Finding the Fourth Proportional to 403,829.70, 605,744.55 and 401,064.90

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Solution

The fourth proportional to 403,829.70, 605,744.55 and 401,064.90 is: 601,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,829.70 : 605,744.55 = 401,064.90 : x
  2. Step 2: Convert to fraction form
    403,829.70/605,744.55 = 401,064.90/x
  3. Step 3: Cross multiply
    403,829.70x = 605,744.55 × 401,064.90
  4. Step 4: Simplify right side
    403,829.70x = 242,942,877,371.30
  5. Step 5: Solve for x
    x = 242,942,877,371.30/403,829.70
  6. Step 6: Final answer
    x = 601,597.35

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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.