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Finding the Fourth Proportional to 542,747.79, 748,996.47 and 301,046.02

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Solution

The fourth proportional to 542,747.79, 748,996.47 and 301,046.02 is: 415,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,747.79 : 748,996.47 = 301,046.02 : x
  2. Step 2: Convert to fraction form
    542,747.79/748,996.47 = 301,046.02/x
  3. Step 3: Cross multiply
    542,747.79x = 748,996.47 × 301,046.02
  4. Step 4: Simplify right side
    542,747.79x = 225,482,404,415.06
  5. Step 5: Solve for x
    x = 225,482,404,415.06/542,747.79
  6. Step 6: Final answer
    x = 415,446.01

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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.