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Finding the Fourth Proportional to 415,859.16, 573,889.06 and 229,596.62

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Solution

The fourth proportional to 415,859.16, 573,889.06 and 229,596.62 is: 316,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,859.16 : 573,889.06 = 229,596.62 : x
  2. Step 2: Convert to fraction form
    415,859.16/573,889.06 = 229,596.62/x
  3. Step 3: Cross multiply
    415,859.16x = 573,889.06 × 229,596.62
  4. Step 4: Simplify right side
    415,859.16x = 131,762,988,430.98
  5. Step 5: Solve for x
    x = 131,762,988,430.98/415,859.16
  6. Step 6: Final answer
    x = 316,845.22

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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.