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Finding the Fourth Proportional to 364,355.76, 502,854.82 and 213,452.76

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Solution

The fourth proportional to 364,355.76, 502,854.82 and 213,452.76 is: 294,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,355.76 : 502,854.82 = 213,452.76 : x
  2. Step 2: Convert to fraction form
    364,355.76/502,854.82 = 213,452.76/x
  3. Step 3: Cross multiply
    364,355.76x = 502,854.82 × 213,452.76
  4. Step 4: Simplify right side
    364,355.76x = 107,335,749,208.30
  5. Step 5: Solve for x
    x = 107,335,749,208.30/364,355.76
  6. Step 6: Final answer
    x = 294,590.51

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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.