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Finding the Fourth Proportional to 415,212.88, 573,005.19 and 254,065

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Solution

The fourth proportional to 415,212.88, 573,005.19 and 254,065 is: 350,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,212.88 : 573,005.19 = 254,065 : x
  2. Step 2: Convert to fraction form
    415,212.88/573,005.19 = 254,065/x
  3. Step 3: Cross multiply
    415,212.88x = 573,005.19 × 254,065
  4. Step 4: Simplify right side
    415,212.88x = 145,580,563,597.35
  5. Step 5: Solve for x
    x = 145,580,563,597.35/415,212.88
  6. Step 6: Final answer
    x = 350,616.69

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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.