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Finding the Fourth Proportional to 415,859.65, 573,889.76 and 229,597.11

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Solution

The fourth proportional to 415,859.65, 573,889.76 and 229,597.11 is: 316,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,859.65 : 573,889.76 = 229,597.11 : x
  2. Step 2: Convert to fraction form
    415,859.65/573,889.76 = 229,597.11/x
  3. Step 3: Cross multiply
    415,859.65x = 573,889.76 × 229,597.11
  4. Step 4: Simplify right side
    415,859.65x = 131,763,430,354.59
  5. Step 5: Solve for x
    x = 131,763,430,354.59/415,859.65
  6. Step 6: Final answer
    x = 316,845.91

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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.