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Finding the Fourth Proportional to 410,797.04, 566,889.46 and 229,510.34

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Solution

The fourth proportional to 410,797.04, 566,889.46 and 229,510.34 is: 316,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,797.04 : 566,889.46 = 229,510.34 : x
  2. Step 2: Convert to fraction form
    410,797.04/566,889.46 = 229,510.34/x
  3. Step 3: Cross multiply
    410,797.04x = 566,889.46 × 229,510.34
  4. Step 4: Simplify right side
    410,797.04x = 130,106,992,707.02
  5. Step 5: Solve for x
    x = 130,106,992,707.02/410,797.04
  6. Step 6: Final answer
    x = 316,718.43

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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.