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Finding the Fourth Proportional to 336,808.64, 464,784.36 and 200,772.50

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Solution

The fourth proportional to 336,808.64, 464,784.36 and 200,772.50 is: 277,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,808.64 : 464,784.36 = 200,772.50 : x
  2. Step 2: Convert to fraction form
    336,808.64/464,784.36 = 200,772.50/x
  3. Step 3: Cross multiply
    336,808.64x = 464,784.36 × 200,772.50
  4. Step 4: Simplify right side
    336,808.64x = 93,315,917,918.10
  5. Step 5: Solve for x
    x = 93,315,917,918.10/336,808.64
  6. Step 6: Final answer
    x = 277,059.16

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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.