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Finding the Fourth Proportional to 713,808.75, 985,143.57 and 412,002.75

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Solution

The fourth proportional to 713,808.75, 985,143.57 and 412,002.75 is: 568,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,808.75 : 985,143.57 = 412,002.75 : x
  2. Step 2: Convert to fraction form
    713,808.75/985,143.57 = 412,002.75/x
  3. Step 3: Cross multiply
    713,808.75x = 985,143.57 × 412,002.75
  4. Step 4: Simplify right side
    713,808.75x = 405,881,859,984.82
  5. Step 5: Solve for x
    x = 405,881,859,984.82/713,808.75
  6. Step 6: Final answer
    x = 568,614.30

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1.5x scale

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.