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Finding the Fourth Proportional to 410,962.91, 567,126.87 and 229,674.65

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Solution

The fourth proportional to 410,962.91, 567,126.87 and 229,674.65 is: 316,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,962.91 : 567,126.87 = 229,674.65 : x
  2. Step 2: Convert to fraction form
    410,962.91/567,126.87 = 229,674.65/x
  3. Step 3: Cross multiply
    410,962.91x = 567,126.87 × 229,674.65
  4. Step 4: Simplify right side
    410,962.91x = 130,254,662,537.21
  5. Step 5: Solve for x
    x = 130,254,662,537.21/410,962.91
  6. Step 6: Final answer
    x = 316,949.93

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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.