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Finding the Fourth Proportional to 299,281.94, 413,017.86 and 163,324.66

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Solution

The fourth proportional to 299,281.94, 413,017.86 and 163,324.66 is: 225,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,281.94 : 413,017.86 = 163,324.66 : x
  2. Step 2: Convert to fraction form
    299,281.94/413,017.86 = 163,324.66/x
  3. Step 3: Cross multiply
    299,281.94x = 413,017.86 × 163,324.66
  4. Step 4: Simplify right side
    299,281.94x = 67,455,999,373.09
  5. Step 5: Solve for x
    x = 67,455,999,373.09/299,281.94
  6. Step 6: Final answer
    x = 225,392.82

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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.