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Finding the Fourth Proportional to 310,959.71, 466,437.97 and 121,439.32

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Solution

The fourth proportional to 310,959.71, 466,437.97 and 121,439.32 is: 182,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,959.71 : 466,437.97 = 121,439.32 : x
  2. Step 2: Convert to fraction form
    310,959.71/466,437.97 = 121,439.32/x
  3. Step 3: Cross multiply
    310,959.71x = 466,437.97 × 121,439.32
  4. Step 4: Simplify right side
    310,959.71x = 56,643,909,291.78
  5. Step 5: Solve for x
    x = 56,643,909,291.78/310,959.71
  6. Step 6: Final answer
    x = 182,158.36

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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.