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Finding the Fourth Proportional to 562,140.32, 843,211.92 and 229,716.32

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Solution

The fourth proportional to 562,140.32, 843,211.92 and 229,716.32 is: 344,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,140.32 : 843,211.92 = 229,716.32 : x
  2. Step 2: Convert to fraction form
    562,140.32/843,211.92 = 229,716.32/x
  3. Step 3: Cross multiply
    562,140.32x = 843,211.92 × 229,716.32
  4. Step 4: Simplify right side
    562,140.32x = 193,699,539,242.53
  5. Step 5: Solve for x
    x = 193,699,539,242.53/562,140.32
  6. Step 6: Final answer
    x = 344,575.07

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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.