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Finding the Fourth Proportional to 427,573.52, 590,233.20 and 266,508.80

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Solution

The fourth proportional to 427,573.52, 590,233.20 and 266,508.80 is: 367,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,573.52 : 590,233.20 = 266,508.80 : x
  2. Step 2: Convert to fraction form
    427,573.52/590,233.20 = 266,508.80/x
  3. Step 3: Cross multiply
    427,573.52x = 590,233.20 × 266,508.80
  4. Step 4: Simplify right side
    427,573.52x = 157,302,341,852.16
  5. Step 5: Solve for x
    x = 157,302,341,852.16/427,573.52
  6. Step 6: Final answer
    x = 367,895.42

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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.