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Finding the Fourth Proportional to 310,453.68, 465,480.21 and 148,259.94

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Solution

The fourth proportional to 310,453.68, 465,480.21 and 148,259.94 is: 222,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,453.68 : 465,480.21 = 148,259.94 : x
  2. Step 2: Convert to fraction form
    310,453.68/465,480.21 = 148,259.94/x
  3. Step 3: Cross multiply
    310,453.68x = 465,480.21 × 148,259.94
  4. Step 4: Simplify right side
    310,453.68x = 69,012,068,005.79
  5. Step 5: Solve for x
    x = 69,012,068,005.79/310,453.68
  6. Step 6: Final answer
    x = 222,294.25

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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.