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Finding the Fourth Proportional to 338,603.64, 467,320.62 and 209,583.49

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Solution

The fourth proportional to 338,603.64, 467,320.62 and 209,583.49 is: 289,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,603.64 : 467,320.62 = 209,583.49 : x
  2. Step 2: Convert to fraction form
    338,603.64/467,320.62 = 209,583.49/x
  3. Step 3: Cross multiply
    338,603.64x = 467,320.62 × 209,583.49
  4. Step 4: Simplify right side
    338,603.64x = 97,942,686,488.56
  5. Step 5: Solve for x
    x = 97,942,686,488.56/338,603.64
  6. Step 6: Final answer
    x = 289,254.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.