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Finding the Fourth Proportional to 337,653.50, 506,497.26 and 100,998.24

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Solution

The fourth proportional to 337,653.50, 506,497.26 and 100,998.24 is: 151,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,653.50 : 506,497.26 = 100,998.24 : x
  2. Step 2: Convert to fraction form
    337,653.50/506,497.26 = 100,998.24/x
  3. Step 3: Cross multiply
    337,653.50x = 506,497.26 × 100,998.24
  4. Step 4: Simplify right side
    337,653.50x = 51,155,331,824.82
  5. Step 5: Solve for x
    x = 51,155,331,824.82/337,653.50
  6. Step 6: Final answer
    x = 151,502.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.