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Finding the Fourth Proportional to 403,914.80, 605,872.20 and 291,357.20

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Solution

The fourth proportional to 403,914.80, 605,872.20 and 291,357.20 is: 437,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,914.80 : 605,872.20 = 291,357.20 : x
  2. Step 2: Convert to fraction form
    403,914.80/605,872.20 = 291,357.20/x
  3. Step 3: Cross multiply
    403,914.80x = 605,872.20 × 291,357.20
  4. Step 4: Simplify right side
    403,914.80x = 176,525,227,749.84
  5. Step 5: Solve for x
    x = 176,525,227,749.84/403,914.80
  6. Step 6: Final answer
    x = 437,035.80

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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.