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Finding the Fourth Proportional to 366,901.91, 506,228.40 and 211,815.26

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Solution

The fourth proportional to 366,901.91, 506,228.40 and 211,815.26 is: 292,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,901.91 : 506,228.40 = 211,815.26 : x
  2. Step 2: Convert to fraction form
    366,901.91/506,228.40 = 211,815.26/x
  3. Step 3: Cross multiply
    366,901.91x = 506,228.40 × 211,815.26
  4. Step 4: Simplify right side
    366,901.91x = 107,226,900,165.38
  5. Step 5: Solve for x
    x = 107,226,900,165.38/366,901.91
  6. Step 6: Final answer
    x = 292,249.50

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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.