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Finding the Fourth Proportional to 650,668.16, 976,080.96 and 229,857.92

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Solution

The fourth proportional to 650,668.16, 976,080.96 and 229,857.92 is: 344,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,668.16 : 976,080.96 = 229,857.92 : x
  2. Step 2: Convert to fraction form
    650,668.16/976,080.96 = 229,857.92/x
  3. Step 3: Cross multiply
    650,668.16x = 976,080.96 × 229,857.92
  4. Step 4: Simplify right side
    650,668.16x = 224,359,939,217.20
  5. Step 5: Solve for x
    x = 224,359,939,217.20/650,668.16
  6. Step 6: Final answer
    x = 344,814.69

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1.5x scale

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.