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Finding the Fourth Proportional to 415,788.06, 573,876.54 and 262,729.08

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Solution

The fourth proportional to 415,788.06, 573,876.54 and 262,729.08 is: 362,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,788.06 : 573,876.54 = 262,729.08 : x
  2. Step 2: Convert to fraction form
    415,788.06/573,876.54 = 262,729.08/x
  3. Step 3: Cross multiply
    415,788.06x = 573,876.54 × 262,729.08
  4. Step 4: Simplify right side
    415,788.06x = 150,774,055,387.78
  5. Step 5: Solve for x
    x = 150,774,055,387.78/415,788.06
  6. Step 6: Final answer
    x = 362,622.38

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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.