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Finding the Fourth Proportional to 338,549.82, 507,835.17 and 101,894.22

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Solution

The fourth proportional to 338,549.82, 507,835.17 and 101,894.22 is: 152,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,549.82 : 507,835.17 = 101,894.22 : x
  2. Step 2: Convert to fraction form
    338,549.82/507,835.17 = 101,894.22/x
  3. Step 3: Cross multiply
    338,549.82x = 507,835.17 × 101,894.22
  4. Step 4: Simplify right side
    338,549.82x = 51,745,468,535.72
  5. Step 5: Solve for x
    x = 51,745,468,535.72/338,549.82
  6. Step 6: Final answer
    x = 152,844.47

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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.