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Finding the Fourth Proportional to 415,684.50, 573,837.72 and 243,578.58

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Solution

The fourth proportional to 415,684.50, 573,837.72 and 243,578.58 is: 336,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,684.50 : 573,837.72 = 243,578.58 : x
  2. Step 2: Convert to fraction form
    415,684.50/573,837.72 = 243,578.58/x
  3. Step 3: Cross multiply
    415,684.50x = 573,837.72 × 243,578.58
  4. Step 4: Simplify right side
    415,684.50x = 139,774,575,586.01
  5. Step 5: Solve for x
    x = 139,774,575,586.01/415,684.50
  6. Step 6: Final answer
    x = 336,251.59

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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.