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Finding the Fourth Proportional to 409,165.20, 612,019.80 and 367,347.60

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Solution

The fourth proportional to 409,165.20, 612,019.80 and 367,347.60 is: 549,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,165.20 : 612,019.80 = 367,347.60 : x
  2. Step 2: Convert to fraction form
    409,165.20/612,019.80 = 367,347.60/x
  3. Step 3: Cross multiply
    409,165.20x = 612,019.80 × 367,347.60
  4. Step 4: Simplify right side
    409,165.20x = 224,824,004,682.48
  5. Step 5: Solve for x
    x = 224,824,004,682.48/409,165.20
  6. Step 6: Final answer
    x = 549,470.01

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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.