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Finding the Fourth Proportional to 410,265.61, 566,195.00 and 229,012.86

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Solution

The fourth proportional to 410,265.61, 566,195.00 and 229,012.86 is: 316,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,265.61 : 566,195.00 = 229,012.86 : x
  2. Step 2: Convert to fraction form
    410,265.61/566,195.00 = 229,012.86/x
  3. Step 3: Cross multiply
    410,265.61x = 566,195.00 × 229,012.86
  4. Step 4: Simplify right side
    410,265.61x = 129,665,934,009.26
  5. Step 5: Solve for x
    x = 129,665,934,009.26/410,265.61
  6. Step 6: Final answer
    x = 316,053.63

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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.