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Finding the Fourth Proportional to 413,370.15, 570,406.62 and 232,102

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Solution

The fourth proportional to 413,370.15, 570,406.62 and 232,102 is: 320,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,370.15 : 570,406.62 = 232,102 : x
  2. Step 2: Convert to fraction form
    413,370.15/570,406.62 = 232,102/x
  3. Step 3: Cross multiply
    413,370.15x = 570,406.62 × 232,102
  4. Step 4: Simplify right side
    413,370.15x = 132,392,517,315.24
  5. Step 5: Solve for x
    x = 132,392,517,315.24/413,370.15
  6. Step 6: Final answer
    x = 320,275.95

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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.