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Finding the Fourth Proportional to 417,470.44, 576,109.42 and 226,483.78

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Solution

The fourth proportional to 417,470.44, 576,109.42 and 226,483.78 is: 312,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,470.44 : 576,109.42 = 226,483.78 : x
  2. Step 2: Convert to fraction form
    417,470.44/576,109.42 = 226,483.78/x
  3. Step 3: Cross multiply
    417,470.44x = 576,109.42 × 226,483.78
  4. Step 4: Simplify right side
    417,470.44x = 130,479,439,135.21
  5. Step 5: Solve for x
    x = 130,479,439,135.21/417,470.44
  6. Step 6: Final answer
    x = 312,547.73

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1.5x scale

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.