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Finding the Fourth Proportional to 542,701.50, 748,937.43 and 300,994.62

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Solution

The fourth proportional to 542,701.50, 748,937.43 and 300,994.62 is: 415,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,701.50 : 748,937.43 = 300,994.62 : x
  2. Step 2: Convert to fraction form
    542,701.50/748,937.43 = 300,994.62/x
  3. Step 3: Cross multiply
    542,701.50x = 748,937.43 × 300,994.62
  4. Step 4: Simplify right side
    542,701.50x = 225,426,137,146.63
  5. Step 5: Solve for x
    x = 225,426,137,146.63/542,701.50
  6. Step 6: Final answer
    x = 415,377.77

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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.