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Finding the Fourth Proportional to 314,506.84, 434,015.12 and 178,539.60

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Solution

The fourth proportional to 314,506.84, 434,015.12 and 178,539.60 is: 246,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,506.84 : 434,015.12 = 178,539.60 : x
  2. Step 2: Convert to fraction form
    314,506.84/434,015.12 = 178,539.60/x
  3. Step 3: Cross multiply
    314,506.84x = 434,015.12 × 178,539.60
  4. Step 4: Simplify right side
    314,506.84x = 77,488,885,918.75
  5. Step 5: Solve for x
    x = 77,488,885,918.75/314,506.84
  6. Step 6: Final answer
    x = 246,382.20

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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.