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Finding the Fourth Proportional to 713,924.82, 985,207.05 and 407,997.69

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Solution

The fourth proportional to 713,924.82, 985,207.05 and 407,997.69 is: 563,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,924.82 : 985,207.05 = 407,997.69 : x
  2. Step 2: Convert to fraction form
    713,924.82/985,207.05 = 407,997.69/x
  3. Step 3: Cross multiply
    713,924.82x = 985,207.05 × 407,997.69
  4. Step 4: Simplify right side
    713,924.82x = 401,962,200,571.72
  5. Step 5: Solve for x
    x = 401,962,200,571.72/713,924.82
  6. Step 6: Final answer
    x = 563,031.55

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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.