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Finding the Fourth Proportional to 342,917.16, 473,209.12 and 189,945

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Solution

The fourth proportional to 342,917.16, 473,209.12 and 189,945 is: 262,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,917.16 : 473,209.12 = 189,945 : x
  2. Step 2: Convert to fraction form
    342,917.16/473,209.12 = 189,945/x
  3. Step 3: Cross multiply
    342,917.16x = 473,209.12 × 189,945
  4. Step 4: Simplify right side
    342,917.16x = 89,883,706,298.40
  5. Step 5: Solve for x
    x = 89,883,706,298.40/342,917.16
  6. Step 6: Final answer
    x = 262,114.93

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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.