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Finding the Fourth Proportional to 413,595.80, 570,758.66 and 232,310.52

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Solution

The fourth proportional to 413,595.80, 570,758.66 and 232,310.52 is: 320,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,595.80 : 570,758.66 = 232,310.52 : x
  2. Step 2: Convert to fraction form
    413,595.80/570,758.66 = 232,310.52/x
  3. Step 3: Cross multiply
    413,595.80x = 570,758.66 × 232,310.52
  4. Step 4: Simplify right side
    413,595.80x = 132,593,241,099.10
  5. Step 5: Solve for x
    x = 132,593,241,099.10/413,595.80
  6. Step 6: Final answer
    x = 320,586.53

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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.