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Finding the Fourth Proportional to 296,668.37, 409,319.30 and 186,298.92

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Solution

The fourth proportional to 296,668.37, 409,319.30 and 186,298.92 is: 257,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,668.37 : 409,319.30 = 186,298.92 : x
  2. Step 2: Convert to fraction form
    296,668.37/409,319.30 = 186,298.92/x
  3. Step 3: Cross multiply
    296,668.37x = 409,319.30 × 186,298.92
  4. Step 4: Simplify right side
    296,668.37x = 76,255,742,593.66
  5. Step 5: Solve for x
    x = 76,255,742,593.66/296,668.37
  6. Step 6: Final answer
    x = 257,040.35

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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.