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Finding the Fourth Proportional to 409,666.17, 565,018.83 and 266,471.94

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Solution

The fourth proportional to 409,666.17, 565,018.83 and 266,471.94 is: 367,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,666.17 : 565,018.83 = 266,471.94 : x
  2. Step 2: Convert to fraction form
    409,666.17/565,018.83 = 266,471.94/x
  3. Step 3: Cross multiply
    409,666.17x = 565,018.83 × 266,471.94
  4. Step 4: Simplify right side
    409,666.17x = 150,561,663,766.63
  5. Step 5: Solve for x
    x = 150,561,663,766.63/409,666.17
  6. Step 6: Final answer
    x = 367,522.81

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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.