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Finding the Fourth Proportional to 310,949.19, 466,224.26 and 148,776.39

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Solution

The fourth proportional to 310,949.19, 466,224.26 and 148,776.39 is: 223,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,949.19 : 466,224.26 = 148,776.39 : x
  2. Step 2: Convert to fraction form
    310,949.19/466,224.26 = 148,776.39/x
  3. Step 3: Cross multiply
    310,949.19x = 466,224.26 × 148,776.39
  4. Step 4: Simplify right side
    310,949.19x = 69,363,161,589.34
  5. Step 5: Solve for x
    x = 69,363,161,589.34/310,949.19
  6. Step 6: Final answer
    x = 223,069.12

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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.