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Finding the Fourth Proportional to 613,415.93, 847,222.49 and 409,111.85

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Solution

The fourth proportional to 613,415.93, 847,222.49 and 409,111.85 is: 565,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,415.93 : 847,222.49 = 409,111.85 : x
  2. Step 2: Convert to fraction form
    613,415.93/847,222.49 = 409,111.85/x
  3. Step 3: Cross multiply
    613,415.93x = 847,222.49 × 409,111.85
  4. Step 4: Simplify right side
    613,415.93x = 346,608,753,963.84
  5. Step 5: Solve for x
    x = 346,608,753,963.84/613,415.93
  6. Step 6: Final answer
    x = 565,046.88

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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.