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Finding the Fourth Proportional to 410,006.18, 565,615.64 and 266,713.94

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Solution

The fourth proportional to 410,006.18, 565,615.64 and 266,713.94 is: 367,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,006.18 : 565,615.64 = 266,713.94 : x
  2. Step 2: Convert to fraction form
    410,006.18/565,615.64 = 266,713.94/x
  3. Step 3: Cross multiply
    410,006.18x = 565,615.64 × 266,713.94
  4. Step 4: Simplify right side
    410,006.18x = 150,857,575,870.02
  5. Step 5: Solve for x
    x = 150,857,575,870.02/410,006.18
  6. Step 6: Final answer
    x = 367,939.76

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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.