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Finding the Fourth Proportional to 410,776.26, 566,864.82 and 229,490.70

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Solution

The fourth proportional to 410,776.26, 566,864.82 and 229,490.70 is: 316,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,776.26 : 566,864.82 = 229,490.70 : x
  2. Step 2: Convert to fraction form
    410,776.26/566,864.82 = 229,490.70/x
  3. Step 3: Cross multiply
    410,776.26x = 566,864.82 × 229,490.70
  4. Step 4: Simplify right side
    410,776.26x = 130,090,204,347.17
  5. Step 5: Solve for x
    x = 130,090,204,347.17/410,776.26
  6. Step 6: Final answer
    x = 316,693.58

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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.