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Finding the Fourth Proportional to 409,667.17, 565,020.21 and 266,472.94

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Solution

The fourth proportional to 409,667.17, 565,020.21 and 266,472.94 is: 367,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,667.17 : 565,020.21 = 266,472.94 : x
  2. Step 2: Convert to fraction form
    409,667.17/565,020.21 = 266,472.94/x
  3. Step 3: Cross multiply
    409,667.17x = 565,020.21 × 266,472.94
  4. Step 4: Simplify right side
    409,667.17x = 150,562,596,518.12
  5. Step 5: Solve for x
    x = 150,562,596,518.12/409,667.17
  6. Step 6: Final answer
    x = 367,524.19

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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.