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Finding the Fourth Proportional to 436,094.80, 654,142.20 and 409,829.20

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Solution

The fourth proportional to 436,094.80, 654,142.20 and 409,829.20 is: 614,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,094.80 : 654,142.20 = 409,829.20 : x
  2. Step 2: Convert to fraction form
    436,094.80/654,142.20 = 409,829.20/x
  3. Step 3: Cross multiply
    436,094.80x = 654,142.20 × 409,829.20
  4. Step 4: Simplify right side
    436,094.80x = 268,086,574,512.24
  5. Step 5: Solve for x
    x = 268,086,574,512.24/436,094.80
  6. Step 6: Final answer
    x = 614,743.80

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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.