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Finding the Fourth Proportional to 314,209.64, 471,586.08 and 164,554.64

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Solution

The fourth proportional to 314,209.64, 471,586.08 and 164,554.64 is: 246,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,209.64 : 471,586.08 = 164,554.64 : x
  2. Step 2: Convert to fraction form
    314,209.64/471,586.08 = 164,554.64/x
  3. Step 3: Cross multiply
    314,209.64x = 471,586.08 × 164,554.64
  4. Step 4: Simplify right side
    314,209.64x = 77,601,677,623.41
  5. Step 5: Solve for x
    x = 77,601,677,623.41/314,209.64
  6. Step 6: Final answer
    x = 246,974.21

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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.