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Finding the Fourth Proportional to 338,497.84, 467,108.01 and 185,506.87

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Solution

The fourth proportional to 338,497.84, 467,108.01 and 185,506.87 is: 255,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,497.84 : 467,108.01 = 185,506.87 : x
  2. Step 2: Convert to fraction form
    338,497.84/467,108.01 = 185,506.87/x
  3. Step 3: Cross multiply
    338,497.84x = 467,108.01 × 185,506.87
  4. Step 4: Simplify right side
    338,497.84x = 86,651,744,887.03
  5. Step 5: Solve for x
    x = 86,651,744,887.03/338,497.84
  6. Step 6: Final answer
    x = 255,989.06

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