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Finding the Fourth Proportional to 364,214.69, 502,622.51 and 200,889.95

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Solution

The fourth proportional to 364,214.69, 502,622.51 and 200,889.95 is: 277,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,214.69 : 502,622.51 = 200,889.95 : x
  2. Step 2: Convert to fraction form
    364,214.69/502,622.51 = 200,889.95/x
  3. Step 3: Cross multiply
    364,214.69x = 502,622.51 × 200,889.95
  4. Step 4: Simplify right side
    364,214.69x = 100,971,807,385.21
  5. Step 5: Solve for x
    x = 100,971,807,385.21/364,214.69
  6. Step 6: Final answer
    x = 277,231.57

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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.