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Finding the Fourth Proportional to 299,079.24, 412,723.20 and 164,943.24

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Solution

The fourth proportional to 299,079.24, 412,723.20 and 164,943.24 is: 227,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,079.24 : 412,723.20 = 164,943.24 : x
  2. Step 2: Convert to fraction form
    299,079.24/412,723.20 = 164,943.24/x
  3. Step 3: Cross multiply
    299,079.24x = 412,723.20 × 164,943.24
  4. Step 4: Simplify right side
    299,079.24x = 68,075,901,831.17
  5. Step 5: Solve for x
    x = 68,075,901,831.17/299,079.24
  6. Step 6: Final answer
    x = 227,618.28

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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.