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Finding the Fourth Proportional to 524,264.37, 786,398.42 and 159,529.50

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Solution

The fourth proportional to 524,264.37, 786,398.42 and 159,529.50 is: 239,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,264.37 : 786,398.42 = 159,529.50 : x
  2. Step 2: Convert to fraction form
    524,264.37/786,398.42 = 159,529.50/x
  3. Step 3: Cross multiply
    524,264.37x = 786,398.42 × 159,529.50
  4. Step 4: Simplify right side
    524,264.37x = 125,453,747,142.21
  5. Step 5: Solve for x
    x = 125,453,747,142.21/524,264.37
  6. Step 6: Final answer
    x = 239,294.82

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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.