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Finding the Fourth Proportional to 562,253, 843,380.32 and 229,829

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Solution

The fourth proportional to 562,253, 843,380.32 and 229,829 is: 344,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,253 : 843,380.32 = 229,829 : x
  2. Step 2: Convert to fraction form
    562,253/843,380.32 = 229,829/x
  3. Step 3: Cross multiply
    562,253x = 843,380.32 × 229,829
  4. Step 4: Simplify right side
    562,253x = 193,833,255,565.28
  5. Step 5: Solve for x
    x = 193,833,255,565.28/562,253
  6. Step 6: Final answer
    x = 344,743.84

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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.