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Finding the Fourth Proportional to 410,496.70, 566,495.06 and 229,202.50

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Solution

The fourth proportional to 410,496.70, 566,495.06 and 229,202.50 is: 316,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,496.70 : 566,495.06 = 229,202.50 : x
  2. Step 2: Convert to fraction form
    410,496.70/566,495.06 = 229,202.50/x
  3. Step 3: Cross multiply
    410,496.70x = 566,495.06 × 229,202.50
  4. Step 4: Simplify right side
    410,496.70x = 129,842,083,989.65
  5. Step 5: Solve for x
    x = 129,842,083,989.65/410,496.70
  6. Step 6: Final answer
    x = 316,304.82

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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.