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Finding the Fourth Proportional to 314,908.46, 472,526.70 and 137,433.40

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Solution

The fourth proportional to 314,908.46, 472,526.70 and 137,433.40 is: 206,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,908.46 : 472,526.70 = 137,433.40 : x
  2. Step 2: Convert to fraction form
    314,908.46/472,526.70 = 137,433.40/x
  3. Step 3: Cross multiply
    314,908.46x = 472,526.70 × 137,433.40
  4. Step 4: Simplify right side
    314,908.46x = 64,940,950,971.78
  5. Step 5: Solve for x
    x = 64,940,950,971.78/314,908.46
  6. Step 6: Final answer
    x = 206,221.68

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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.