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Finding the Fourth Proportional to 523,537.50, 722,403.05 and 294,050.82

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Solution

The fourth proportional to 523,537.50, 722,403.05 and 294,050.82 is: 405,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,537.50 : 722,403.05 = 294,050.82 : x
  2. Step 2: Convert to fraction form
    523,537.50/722,403.05 = 294,050.82/x
  3. Step 3: Cross multiply
    523,537.50x = 722,403.05 × 294,050.82
  4. Step 4: Simplify right side
    523,537.50x = 212,423,209,958.13
  5. Step 5: Solve for x
    x = 212,423,209,958.13/523,537.50
  6. Step 6: Final answer
    x = 405,745.93

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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.