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Finding the Fourth Proportional to 410,663.97, 566,710.20 and 229,378.53

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Solution

The fourth proportional to 410,663.97, 566,710.20 and 229,378.53 is: 316,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,663.97 : 566,710.20 = 229,378.53 : x
  2. Step 2: Convert to fraction form
    410,663.97/566,710.20 = 229,378.53/x
  3. Step 3: Cross multiply
    410,663.97x = 566,710.20 × 229,378.53
  4. Step 4: Simplify right side
    410,663.97x = 129,991,152,612.01
  5. Step 5: Solve for x
    x = 129,991,152,612.01/410,663.97
  6. Step 6: Final answer
    x = 316,538.98

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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.