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Finding the Fourth Proportional to 409,855.90, 565,600.02 and 228,568.02

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Solution

The fourth proportional to 409,855.90, 565,600.02 and 228,568.02 is: 315,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,855.90 : 565,600.02 = 228,568.02 : x
  2. Step 2: Convert to fraction form
    409,855.90/565,600.02 = 228,568.02/x
  3. Step 3: Cross multiply
    409,855.90x = 565,600.02 × 228,568.02
  4. Step 4: Simplify right side
    409,855.90x = 129,278,076,683.36
  5. Step 5: Solve for x
    x = 129,278,076,683.36/409,855.90
  6. Step 6: Final answer
    x = 315,423.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.