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Finding the Fourth Proportional to 715,830, 1,073,751.48 and 217,194

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Solution

The fourth proportional to 715,830, 1,073,751.48 and 217,194 is: 325,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,830 : 1,073,751.48 = 217,194 : x
  2. Step 2: Convert to fraction form
    715,830/1,073,751.48 = 217,194/x
  3. Step 3: Cross multiply
    715,830x = 1,073,751.48 × 217,194
  4. Step 4: Simplify right side
    715,830x = 233,212,378,947.12
  5. Step 5: Solve for x
    x = 233,212,378,947.12/715,830
  6. Step 6: Final answer
    x = 325,792.97

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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.