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Finding the Fourth Proportional to 534,761.16, 737,971.10 and 293,052.57

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Solution

The fourth proportional to 534,761.16, 737,971.10 and 293,052.57 is: 404,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,761.16 : 737,971.10 = 293,052.57 : x
  2. Step 2: Convert to fraction form
    534,761.16/737,971.10 = 293,052.57/x
  3. Step 3: Cross multiply
    534,761.16x = 737,971.10 × 293,052.57
  4. Step 4: Simplify right side
    534,761.16x = 216,264,327,440.73
  5. Step 5: Solve for x
    x = 216,264,327,440.73/534,761.16
  6. Step 6: Final answer
    x = 404,412.93

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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.