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Finding the Fourth Proportional to 341,769.20, 512,653.80 and 201,801.20

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Solution

The fourth proportional to 341,769.20, 512,653.80 and 201,801.20 is: 302,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,769.20 : 512,653.80 = 201,801.20 : x
  2. Step 2: Convert to fraction form
    341,769.20/512,653.80 = 201,801.20/x
  3. Step 3: Cross multiply
    341,769.20x = 512,653.80 × 201,801.20
  4. Step 4: Simplify right side
    341,769.20x = 103,454,152,024.56
  5. Step 5: Solve for x
    x = 103,454,152,024.56/341,769.20
  6. Step 6: Final answer
    x = 302,701.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.