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Finding the Fourth Proportional to 338,608.64, 467,327.52 and 209,588.51

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Solution

The fourth proportional to 338,608.64, 467,327.52 and 209,588.51 is: 289,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,608.64 : 467,327.52 = 209,588.51 : x
  2. Step 2: Convert to fraction form
    338,608.64/467,327.52 = 209,588.51/x
  3. Step 3: Cross multiply
    338,608.64x = 467,327.52 × 209,588.51
  4. Step 4: Simplify right side
    338,608.64x = 97,946,476,262.16
  5. Step 5: Solve for x
    x = 97,946,476,262.16/338,608.64
  6. Step 6: Final answer
    x = 289,261.60

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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.