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Finding the Fourth Proportional to 310,955.40, 466,208.62 and 121,255

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Solution

The fourth proportional to 310,955.40, 466,208.62 and 121,255 is: 181,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,955.40 : 466,208.62 = 121,255 : x
  2. Step 2: Convert to fraction form
    310,955.40/466,208.62 = 121,255/x
  3. Step 3: Cross multiply
    310,955.40x = 466,208.62 × 121,255
  4. Step 4: Simplify right side
    310,955.40x = 56,530,126,218.10
  5. Step 5: Solve for x
    x = 56,530,126,218.10/310,955.40
  6. Step 6: Final answer
    x = 181,794.97

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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.