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Finding the Fourth Proportional to 310,963.72, 466,444.06 and 121,443.34

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Solution

The fourth proportional to 310,963.72, 466,444.06 and 121,443.34 is: 182,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,963.72 : 466,444.06 = 121,443.34 : x
  2. Step 2: Convert to fraction form
    310,963.72/466,444.06 = 121,443.34/x
  3. Step 3: Cross multiply
    310,963.72x = 466,444.06 × 121,443.34
  4. Step 4: Simplify right side
    310,963.72x = 56,646,524,569.56
  5. Step 5: Solve for x
    x = 56,646,524,569.56/310,963.72
  6. Step 6: Final answer
    x = 182,164.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.