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Finding the Fourth Proportional to 562,761.12, 843,409.44 and 429,150

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Solution

The fourth proportional to 562,761.12, 843,409.44 and 429,150 is: 643,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,761.12 : 843,409.44 = 429,150 : x
  2. Step 2: Convert to fraction form
    562,761.12/843,409.44 = 429,150/x
  3. Step 3: Cross multiply
    562,761.12x = 843,409.44 × 429,150
  4. Step 4: Simplify right side
    562,761.12x = 361,949,161,176
  5. Step 5: Solve for x
    x = 361,949,161,176/562,761.12
  6. Step 6: Final answer
    x = 643,166.61

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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.