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Finding the Fourth Proportional to 523,704.54, 722,773.92 and 294,262.32

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Solution

The fourth proportional to 523,704.54, 722,773.92 and 294,262.32 is: 406,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,704.54 : 722,773.92 = 294,262.32 : x
  2. Step 2: Convert to fraction form
    523,704.54/722,773.92 = 294,262.32/x
  3. Step 3: Cross multiply
    523,704.54x = 722,773.92 × 294,262.32
  4. Step 4: Simplify right side
    523,704.54x = 212,685,130,534.69
  5. Step 5: Solve for x
    x = 212,685,130,534.69/523,704.54
  6. Step 6: Final answer
    x = 406,116.64

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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.