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Finding the Fourth Proportional to 413,431.40, 620,147.10 and 360,943.40

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Solution

The fourth proportional to 413,431.40, 620,147.10 and 360,943.40 is: 541,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,431.40 : 620,147.10 = 360,943.40 : x
  2. Step 2: Convert to fraction form
    413,431.40/620,147.10 = 360,943.40/x
  3. Step 3: Cross multiply
    413,431.40x = 620,147.10 × 360,943.40
  4. Step 4: Simplify right side
    413,431.40x = 223,838,002,774.14
  5. Step 5: Solve for x
    x = 223,838,002,774.14/413,431.40
  6. Step 6: Final answer
    x = 541,415.10

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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.