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Finding the Fourth Proportional to 337,464.45, 506,205.79 and 147,827.25

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Solution

The fourth proportional to 337,464.45, 506,205.79 and 147,827.25 is: 221,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,464.45 : 506,205.79 = 147,827.25 : x
  2. Step 2: Convert to fraction form
    337,464.45/506,205.79 = 147,827.25/x
  3. Step 3: Cross multiply
    337,464.45x = 506,205.79 × 147,827.25
  4. Step 4: Simplify right side
    337,464.45x = 74,831,009,500.21
  5. Step 5: Solve for x
    x = 74,831,009,500.21/337,464.45
  6. Step 6: Final answer
    x = 221,744.87

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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.