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Finding the Fourth Proportional to 517,197.94, 713,831.46 and 323,695.55

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Solution

The fourth proportional to 517,197.94, 713,831.46 and 323,695.55 is: 446,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,197.94 : 713,831.46 = 323,695.55 : x
  2. Step 2: Convert to fraction form
    517,197.94/713,831.46 = 323,695.55/x
  3. Step 3: Cross multiply
    517,197.94x = 713,831.46 × 323,695.55
  4. Step 4: Simplify right side
    517,197.94x = 231,064,067,052.00
  5. Step 5: Solve for x
    x = 231,064,067,052.00/517,197.94
  6. Step 6: Final answer
    x = 446,761.38

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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.