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Finding the Fourth Proportional to 369,980.25, 510,576.39 and 200,218.02

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Solution

The fourth proportional to 369,980.25, 510,576.39 and 200,218.02 is: 276,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,980.25 : 510,576.39 = 200,218.02 : x
  2. Step 2: Convert to fraction form
    369,980.25/510,576.39 = 200,218.02/x
  3. Step 3: Cross multiply
    369,980.25x = 510,576.39 × 200,218.02
  4. Step 4: Simplify right side
    369,980.25x = 102,226,593,864.55
  5. Step 5: Solve for x
    x = 102,226,593,864.55/369,980.25
  6. Step 6: Final answer
    x = 276,302.84

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1.5x scale

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.