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Finding the Fourth Proportional to 562,419.32, 843,825.82 and 163,084.04

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Solution

The fourth proportional to 562,419.32, 843,825.82 and 163,084.04 is: 244,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,419.32 : 843,825.82 = 163,084.04 : x
  2. Step 2: Convert to fraction form
    562,419.32/843,825.82 = 163,084.04/x
  3. Step 3: Cross multiply
    562,419.32x = 843,825.82 × 163,084.04
  4. Step 4: Simplify right side
    562,419.32x = 137,614,523,781.91
  5. Step 5: Solve for x
    x = 137,614,523,781.91/562,419.32
  6. Step 6: Final answer
    x = 244,683.14

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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.