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Finding the Fourth Proportional to 410,666.04, 566,713.11 and 229,380.51

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Solution

The fourth proportional to 410,666.04, 566,713.11 and 229,380.51 is: 316,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,666.04 : 566,713.11 = 229,380.51 : x
  2. Step 2: Convert to fraction form
    410,666.04/566,713.11 = 229,380.51/x
  3. Step 3: Cross multiply
    410,666.04x = 566,713.11 × 229,380.51
  4. Step 4: Simplify right side
    410,666.04x = 129,992,942,195.49
  5. Step 5: Solve for x
    x = 129,992,942,195.49/410,666.04
  6. Step 6: Final answer
    x = 316,541.74

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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.