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Finding the Fourth Proportional to 415,858.46, 573,888.11 and 229,595.93

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Solution

The fourth proportional to 415,858.46, 573,888.11 and 229,595.93 is: 316,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,858.46 : 573,888.11 = 229,595.93 : x
  2. Step 2: Convert to fraction form
    415,858.46/573,888.11 = 229,595.93/x
  3. Step 3: Cross multiply
    415,858.46x = 573,888.11 × 229,595.93
  4. Step 4: Simplify right side
    415,858.46x = 131,762,372,035.94
  5. Step 5: Solve for x
    x = 131,762,372,035.94/415,858.46
  6. Step 6: Final answer
    x = 316,844.27

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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.