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Finding the Fourth Proportional to 523,576.42, 722,516.13 and 319,967.98

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Solution

The fourth proportional to 523,576.42, 722,516.13 and 319,967.98 is: 441,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,576.42 : 722,516.13 = 319,967.98 : x
  2. Step 2: Convert to fraction form
    523,576.42/722,516.13 = 319,967.98/x
  3. Step 3: Cross multiply
    523,576.42x = 722,516.13 × 319,967.98
  4. Step 4: Simplify right side
    523,576.42x = 231,182,026,633.52
  5. Step 5: Solve for x
    x = 231,182,026,633.52/523,576.42
  6. Step 6: Final answer
    x = 441,544.00

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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.