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Finding the Fourth Proportional to 413,367.77, 570,403.49 and 232,099.49

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Solution

The fourth proportional to 413,367.77, 570,403.49 and 232,099.49 is: 320,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,367.77 : 570,403.49 = 232,099.49 : x
  2. Step 2: Convert to fraction form
    413,367.77/570,403.49 = 232,099.49/x
  3. Step 3: Cross multiply
    413,367.77x = 570,403.49 × 232,099.49
  4. Step 4: Simplify right side
    413,367.77x = 132,390,359,388.73
  5. Step 5: Solve for x
    x = 132,390,359,388.73/413,367.77
  6. Step 6: Final answer
    x = 320,272.57

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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.