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Finding the Fourth Proportional to 462,820.84, 694,342.02 and 163,368.64

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Solution

The fourth proportional to 462,820.84, 694,342.02 and 163,368.64 is: 245,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,820.84 : 694,342.02 = 163,368.64 : x
  2. Step 2: Convert to fraction form
    462,820.84/694,342.02 = 163,368.64/x
  3. Step 3: Cross multiply
    462,820.84x = 694,342.02 × 163,368.64
  4. Step 4: Simplify right side
    462,820.84x = 113,433,711,502.25
  5. Step 5: Solve for x
    x = 113,433,711,502.25/462,820.84
  6. Step 6: Final answer
    x = 245,092.06

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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.