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Finding the Fourth Proportional to 364,196.90, 502,628.47 and 211,281.86

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Solution

The fourth proportional to 364,196.90, 502,628.47 and 211,281.86 is: 291,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,196.90 : 502,628.47 = 211,281.86 : x
  2. Step 2: Convert to fraction form
    364,196.90/502,628.47 = 211,281.86/x
  3. Step 3: Cross multiply
    364,196.90x = 502,628.47 × 211,281.86
  4. Step 4: Simplify right side
    364,196.90x = 106,196,278,758.92
  5. Step 5: Solve for x
    x = 106,196,278,758.92/364,196.90
  6. Step 6: Final answer
    x = 291,590.29

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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.