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Finding the Fourth Proportional to 310,726.71, 465,754.32 and 150,464.07

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Solution

The fourth proportional to 310,726.71, 465,754.32 and 150,464.07 is: 225,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,726.71 : 465,754.32 = 150,464.07 : x
  2. Step 2: Convert to fraction form
    310,726.71/465,754.32 = 150,464.07/x
  3. Step 3: Cross multiply
    310,726.71x = 465,754.32 × 150,464.07
  4. Step 4: Simplify right side
    310,726.71x = 70,079,290,607.28
  5. Step 5: Solve for x
    x = 70,079,290,607.28/310,726.71
  6. Step 6: Final answer
    x = 225,533.53

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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.