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Finding the Fourth Proportional to 538,863.60, 808,295.40 and 405,019.20

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Solution

The fourth proportional to 538,863.60, 808,295.40 and 405,019.20 is: 607,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,863.60 : 808,295.40 = 405,019.20 : x
  2. Step 2: Convert to fraction form
    538,863.60/808,295.40 = 405,019.20/x
  3. Step 3: Cross multiply
    538,863.60x = 808,295.40 × 405,019.20
  4. Step 4: Simplify right side
    538,863.60x = 327,375,156,271.68
  5. Step 5: Solve for x
    x = 327,375,156,271.68/538,863.60
  6. Step 6: Final answer
    x = 607,528.80

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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.