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Finding the Fourth Proportional to 413,366.58, 570,440.88 and 232,074

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Solution

The fourth proportional to 413,366.58, 570,440.88 and 232,074 is: 320,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,366.58 : 570,440.88 = 232,074 : x
  2. Step 2: Convert to fraction form
    413,366.58/570,440.88 = 232,074/x
  3. Step 3: Cross multiply
    413,366.58x = 570,440.88 × 232,074
  4. Step 4: Simplify right side
    413,366.58x = 132,384,496,785.12
  5. Step 5: Solve for x
    x = 132,384,496,785.12/413,366.58
  6. Step 6: Final answer
    x = 320,259.31

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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.