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Finding the Fourth Proportional to 342,764.43, 473,014.61 and 189,802.61

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Solution

The fourth proportional to 342,764.43, 473,014.61 and 189,802.61 is: 261,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,764.43 : 473,014.61 = 189,802.61 : x
  2. Step 2: Convert to fraction form
    342,764.43/473,014.61 = 189,802.61/x
  3. Step 3: Cross multiply
    342,764.43x = 473,014.61 × 189,802.61
  4. Step 4: Simplify right side
    342,764.43x = 89,779,409,203.18
  5. Step 5: Solve for x
    x = 89,779,409,203.18/342,764.43
  6. Step 6: Final answer
    x = 261,927.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.