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Finding the Fourth Proportional to 497,784.32, 746,854.68 and 213,355.52

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Solution

The fourth proportional to 497,784.32, 746,854.68 and 213,355.52 is: 320,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,784.32 : 746,854.68 = 213,355.52 : x
  2. Step 2: Convert to fraction form
    497,784.32/746,854.68 = 213,355.52/x
  3. Step 3: Cross multiply
    497,784.32x = 746,854.68 × 213,355.52
  4. Step 4: Simplify right side
    497,784.32x = 159,345,568,615.83
  5. Step 5: Solve for x
    x = 159,345,568,615.83/497,784.32
  6. Step 6: Final answer
    x = 320,109.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.