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Finding the Fourth Proportional to 538,545.06, 807,817.59 and 164,564.82

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Solution

The fourth proportional to 538,545.06, 807,817.59 and 164,564.82 is: 246,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,545.06 : 807,817.59 = 164,564.82 : x
  2. Step 2: Convert to fraction form
    538,545.06/807,817.59 = 164,564.82/x
  3. Step 3: Cross multiply
    538,545.06x = 807,817.59 × 164,564.82
  4. Step 4: Simplify right side
    538,545.06x = 132,938,356,291.18
  5. Step 5: Solve for x
    x = 132,938,356,291.18/538,545.06
  6. Step 6: Final answer
    x = 246,847.23

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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.