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Finding the Fourth Proportional to 501,239.34, 752,014.92 and 164,282.94

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Solution

The fourth proportional to 501,239.34, 752,014.92 and 164,282.94 is: 246,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,239.34 : 752,014.92 = 164,282.94 : x
  2. Step 2: Convert to fraction form
    501,239.34/752,014.92 = 164,282.94/x
  3. Step 3: Cross multiply
    501,239.34x = 752,014.92 × 164,282.94
  4. Step 4: Simplify right side
    501,239.34x = 123,543,221,981.47
  5. Step 5: Solve for x
    x = 123,543,221,981.47/501,239.34
  6. Step 6: Final answer
    x = 246,475.51

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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.