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Finding the Fourth Proportional to 337,114.80, 505,599.30 and 147,574.80

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Solution

The fourth proportional to 337,114.80, 505,599.30 and 147,574.80 is: 221,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,114.80 : 505,599.30 = 147,574.80 : x
  2. Step 2: Convert to fraction form
    337,114.80/505,599.30 = 147,574.80/x
  3. Step 3: Cross multiply
    337,114.80x = 505,599.30 × 147,574.80
  4. Step 4: Simplify right side
    337,114.80x = 74,613,715,577.64
  5. Step 5: Solve for x
    x = 74,613,715,577.64/337,114.80
  6. Step 6: Final answer
    x = 221,330.29

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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.