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Finding the Fourth Proportional to 391,203.16, 586,804.72 and 213,613.28

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Solution

The fourth proportional to 391,203.16, 586,804.72 and 213,613.28 is: 320,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,203.16 : 586,804.72 = 213,613.28 : x
  2. Step 2: Convert to fraction form
    391,203.16/586,804.72 = 213,613.28/x
  3. Step 3: Cross multiply
    391,203.16x = 586,804.72 × 213,613.28
  4. Step 4: Simplify right side
    391,203.16x = 125,349,280,958.68
  5. Step 5: Solve for x
    x = 125,349,280,958.68/391,203.16
  6. Step 6: Final answer
    x = 320,419.91

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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.