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Finding the Fourth Proportional to 310,954.38, 466,434.18 and 86,332.33

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Solution

The fourth proportional to 310,954.38, 466,434.18 and 86,332.33 is: 129,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,954.38 : 466,434.18 = 86,332.33 : x
  2. Step 2: Convert to fraction form
    310,954.38/466,434.18 = 86,332.33/x
  3. Step 3: Cross multiply
    310,954.38x = 466,434.18 × 86,332.33
  4. Step 4: Simplify right side
    310,954.38x = 40,268,349,551.04
  5. Step 5: Solve for x
    x = 40,268,349,551.04/310,954.38
  6. Step 6: Final answer
    x = 129,499.22

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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.