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Finding the Fourth Proportional to 211,478.40, 316,634.40 and 164,822.40

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Solution

The fourth proportional to 211,478.40, 316,634.40 and 164,822.40 is: 246,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478.40 : 316,634.40 = 164,822.40 : x
  2. Step 2: Convert to fraction form
    211,478.40/316,634.40 = 164,822.40/x
  3. Step 3: Cross multiply
    211,478.40x = 316,634.40 × 164,822.40
  4. Step 4: Simplify right side
    211,478.40x = 52,188,441,730.56
  5. Step 5: Solve for x
    x = 52,188,441,730.56/211,478.40
  6. Step 6: Final answer
    x = 246,779.06

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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.