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Finding the Fourth Proportional to 410,498.70, 566,497.82 and 229,204.50

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Solution

The fourth proportional to 410,498.70, 566,497.82 and 229,204.50 is: 316,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,498.70 : 566,497.82 = 229,204.50 : x
  2. Step 2: Convert to fraction form
    410,498.70/566,497.82 = 229,204.50/x
  3. Step 3: Cross multiply
    410,498.70x = 566,497.82 × 229,204.50
  4. Step 4: Simplify right side
    410,498.70x = 129,843,849,584.19
  5. Step 5: Solve for x
    x = 129,843,849,584.19/410,498.70
  6. Step 6: Final answer
    x = 316,307.58

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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.