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Finding the Fourth Proportional to 447,146.84, 617,223.14 and 265,858.34

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Solution

The fourth proportional to 447,146.84, 617,223.14 and 265,858.34 is: 366,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,146.84 : 617,223.14 = 265,858.34 : x
  2. Step 2: Convert to fraction form
    447,146.84/617,223.14 = 265,858.34/x
  3. Step 3: Cross multiply
    447,146.84x = 617,223.14 × 265,858.34
  4. Step 4: Simplify right side
    447,146.84x = 164,093,914,994.58
  5. Step 5: Solve for x
    x = 164,093,914,994.58/447,146.84
  6. Step 6: Final answer
    x = 366,979.93

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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.