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Finding the Fourth Proportional to 413,858.66, 571,139.98 and 232,574.18

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Solution

The fourth proportional to 413,858.66, 571,139.98 and 232,574.18 is: 320,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,858.66 : 571,139.98 = 232,574.18 : x
  2. Step 2: Convert to fraction form
    413,858.66/571,139.98 = 232,574.18/x
  3. Step 3: Cross multiply
    413,858.66x = 571,139.98 × 232,574.18
  4. Step 4: Simplify right side
    413,858.66x = 132,832,409,076.58
  5. Step 5: Solve for x
    x = 132,832,409,076.58/413,858.66
  6. Step 6: Final answer
    x = 320,960.81

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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.