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Finding the Fourth Proportional to 409,663.17, 565,014.69 and 266,468.94

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Solution

The fourth proportional to 409,663.17, 565,014.69 and 266,468.94 is: 367,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,663.17 : 565,014.69 = 266,468.94 : x
  2. Step 2: Convert to fraction form
    409,663.17/565,014.69 = 266,468.94/x
  3. Step 3: Cross multiply
    409,663.17x = 565,014.69 × 266,468.94
  4. Step 4: Simplify right side
    409,663.17x = 150,558,865,528.73
  5. Step 5: Solve for x
    x = 150,558,865,528.73/409,663.17
  6. Step 6: Final answer
    x = 367,518.68

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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.