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Finding the Fourth Proportional to 410,751.01, 566,816.15 and 229,426.84

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Solution

The fourth proportional to 410,751.01, 566,816.15 and 229,426.84 is: 316,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,751.01 : 566,816.15 = 229,426.84 : x
  2. Step 2: Convert to fraction form
    410,751.01/566,816.15 = 229,426.84/x
  3. Step 3: Cross multiply
    410,751.01x = 566,816.15 × 229,426.84
  4. Step 4: Simplify right side
    410,751.01x = 130,042,834,174.25
  5. Step 5: Solve for x
    x = 130,042,834,174.25/410,751.01
  6. Step 6: Final answer
    x = 316,597.73

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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.