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Finding the Fourth Proportional to 436,406.40, 654,901.20 and 199,627.20

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Solution

The fourth proportional to 436,406.40, 654,901.20 and 199,627.20 is: 299,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,406.40 : 654,901.20 = 199,627.20 : x
  2. Step 2: Convert to fraction form
    436,406.40/654,901.20 = 199,627.20/x
  3. Step 3: Cross multiply
    436,406.40x = 654,901.20 × 199,627.20
  4. Step 4: Simplify right side
    436,406.40x = 130,736,092,832.64
  5. Step 5: Solve for x
    x = 130,736,092,832.64/436,406.40
  6. Step 6: Final answer
    x = 299,574.19

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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.