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Finding the Fourth Proportional to 310,955.27, 466,435.50 and 86,333.22

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Solution

The fourth proportional to 310,955.27, 466,435.50 and 86,333.22 is: 129,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,955.27 : 466,435.50 = 86,333.22 : x
  2. Step 2: Convert to fraction form
    310,955.27/466,435.50 = 86,333.22/x
  3. Step 3: Cross multiply
    310,955.27x = 466,435.50 × 86,333.22
  4. Step 4: Simplify right side
    310,955.27x = 40,268,878,637.31
  5. Step 5: Solve for x
    x = 40,268,878,637.31/310,955.27
  6. Step 6: Final answer
    x = 129,500.55

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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.