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Finding the Fourth Proportional to 400,462.52, 552,838.23 and 230,663.84

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Solution

The fourth proportional to 400,462.52, 552,838.23 and 230,663.84 is: 318,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,462.52 : 552,838.23 = 230,663.84 : x
  2. Step 2: Convert to fraction form
    400,462.52/552,838.23 = 230,663.84/x
  3. Step 3: Cross multiply
    400,462.52x = 552,838.23 × 230,663.84
  4. Step 4: Simplify right side
    400,462.52x = 127,519,786,266.41
  5. Step 5: Solve for x
    x = 127,519,786,266.41/400,462.52
  6. Step 6: Final answer
    x = 318,431.27

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1.5x scale

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.