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Finding the Fourth Proportional to 413,300.67, 570,354.63 and 232,012.95

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Solution

The fourth proportional to 413,300.67, 570,354.63 and 232,012.95 is: 320,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,300.67 : 570,354.63 = 232,012.95 : x
  2. Step 2: Convert to fraction form
    413,300.67/570,354.63 = 232,012.95/x
  3. Step 3: Cross multiply
    413,300.67x = 570,354.63 × 232,012.95
  4. Step 4: Simplify right side
    413,300.67x = 132,329,660,252.46
  5. Step 5: Solve for x
    x = 132,329,660,252.46/413,300.67
  6. Step 6: Final answer
    x = 320,177.71

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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.