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Finding the Fourth Proportional to 367,331.48, 506,952.16 and 214,357.32

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Solution

The fourth proportional to 367,331.48, 506,952.16 and 214,357.32 is: 295,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,331.48 : 506,952.16 = 214,357.32 : x
  2. Step 2: Convert to fraction form
    367,331.48/506,952.16 = 214,357.32/x
  3. Step 3: Cross multiply
    367,331.48x = 506,952.16 × 214,357.32
  4. Step 4: Simplify right side
    367,331.48x = 108,668,906,385.81
  5. Step 5: Solve for x
    x = 108,668,906,385.81/367,331.48
  6. Step 6: Final answer
    x = 295,833.36

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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.