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Finding the Fourth Proportional to 363,774, 502,008.12 and 204,798

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Solution

The fourth proportional to 363,774, 502,008.12 and 204,798 is: 282,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,774 : 502,008.12 = 204,798 : x
  2. Step 2: Convert to fraction form
    363,774/502,008.12 = 204,798/x
  3. Step 3: Cross multiply
    363,774x = 502,008.12 × 204,798
  4. Step 4: Simplify right side
    363,774x = 102,810,258,959.76
  5. Step 5: Solve for x
    x = 102,810,258,959.76/363,774
  6. Step 6: Final answer
    x = 282,621.24

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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.