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Finding the Fourth Proportional to 463,076.16, 694,606.95 and 147,530.94

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Solution

The fourth proportional to 463,076.16, 694,606.95 and 147,530.94 is: 221,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,076.16 : 694,606.95 = 147,530.94 : x
  2. Step 2: Convert to fraction form
    463,076.16/694,606.95 = 147,530.94/x
  3. Step 3: Cross multiply
    463,076.16x = 694,606.95 × 147,530.94
  4. Step 4: Simplify right side
    463,076.16x = 102,476,016,264.03
  5. Step 5: Solve for x
    x = 102,476,016,264.03/463,076.16
  6. Step 6: Final answer
    x = 221,294.09

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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.