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Finding the Fourth Proportional to 431,668.28, 596,078.32 and 270,799.86

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Solution

The fourth proportional to 431,668.28, 596,078.32 and 270,799.86 is: 373,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,668.28 : 596,078.32 = 270,799.86 : x
  2. Step 2: Convert to fraction form
    431,668.28/596,078.32 = 270,799.86/x
  3. Step 3: Cross multiply
    431,668.28x = 596,078.32 × 270,799.86
  4. Step 4: Simplify right side
    431,668.28x = 161,417,925,605.04
  5. Step 5: Solve for x
    x = 161,417,925,605.04/431,668.28
  6. Step 6: Final answer
    x = 373,939.74

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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.