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Finding the Fourth Proportional to 342,404.36, 513,715.90 and 164,929.32

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Solution

The fourth proportional to 342,404.36, 513,715.90 and 164,929.32 is: 247,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,404.36 : 513,715.90 = 164,929.32 : x
  2. Step 2: Convert to fraction form
    342,404.36/513,715.90 = 164,929.32/x
  3. Step 3: Cross multiply
    342,404.36x = 513,715.90 × 164,929.32
  4. Step 4: Simplify right side
    342,404.36x = 84,726,814,060.19
  5. Step 5: Solve for x
    x = 84,726,814,060.19/342,404.36
  6. Step 6: Final answer
    x = 247,446.66

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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.