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Finding the Fourth Proportional to 410,663.91, 566,710.18 and 229,378.47

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Solution

The fourth proportional to 410,663.91, 566,710.18 and 229,378.47 is: 316,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,663.91 : 566,710.18 = 229,378.47 : x
  2. Step 2: Convert to fraction form
    410,663.91/566,710.18 = 229,378.47/x
  3. Step 3: Cross multiply
    410,663.91x = 566,710.18 × 229,378.47
  4. Step 4: Simplify right side
    410,663.91x = 129,991,114,021.83
  5. Step 5: Solve for x
    x = 129,991,114,021.83/410,663.91
  6. Step 6: Final answer
    x = 316,538.93

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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.