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Finding the Fourth Proportional to 410,003.80, 565,806.06 and 228,711.02

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Solution

The fourth proportional to 410,003.80, 565,806.06 and 228,711.02 is: 315,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,003.80 : 565,806.06 = 228,711.02 : x
  2. Step 2: Convert to fraction form
    410,003.80/565,806.06 = 228,711.02/x
  3. Step 3: Cross multiply
    410,003.80x = 565,806.06 × 228,711.02
  4. Step 4: Simplify right side
    410,003.80x = 129,406,078,275.75
  5. Step 5: Solve for x
    x = 129,406,078,275.75/410,003.80
  6. Step 6: Final answer
    x = 315,621.66

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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.