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Finding the Fourth Proportional to 364,442.59, 502,930.92 and 203,297.14

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Solution

The fourth proportional to 364,442.59, 502,930.92 and 203,297.14 is: 280,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,442.59 : 502,930.92 = 203,297.14 : x
  2. Step 2: Convert to fraction form
    364,442.59/502,930.92 = 203,297.14/x
  3. Step 3: Cross multiply
    364,442.59x = 502,930.92 × 203,297.14
  4. Step 4: Simplify right side
    364,442.59x = 102,244,417,653.57
  5. Step 5: Solve for x
    x = 102,244,417,653.57/364,442.59
  6. Step 6: Final answer
    x = 280,550.13

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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.