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Finding the Fourth Proportional to 523,218.38, 722,055.18 and 293,793.98

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Solution

The fourth proportional to 523,218.38, 722,055.18 and 293,793.98 is: 405,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,218.38 : 722,055.18 = 293,793.98 : x
  2. Step 2: Convert to fraction form
    523,218.38/722,055.18 = 293,793.98/x
  3. Step 3: Cross multiply
    523,218.38x = 722,055.18 × 293,793.98
  4. Step 4: Simplify right side
    523,218.38x = 212,135,465,111.82
  5. Step 5: Solve for x
    x = 212,135,465,111.82/523,218.38
  6. Step 6: Final answer
    x = 405,443.45

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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.