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Finding the Fourth Proportional to 370,033.70, 510,646.50 and 200,267.82

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Solution

The fourth proportional to 370,033.70, 510,646.50 and 200,267.82 is: 276,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,033.70 : 510,646.50 = 200,267.82 : x
  2. Step 2: Convert to fraction form
    370,033.70/510,646.50 = 200,267.82/x
  3. Step 3: Cross multiply
    370,033.70x = 510,646.50 × 200,267.82
  4. Step 4: Simplify right side
    370,033.70x = 102,266,061,345.63
  5. Step 5: Solve for x
    x = 102,266,061,345.63/370,033.70
  6. Step 6: Final answer
    x = 276,369.59

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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.