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Finding the Fourth Proportional to 417,470.82, 576,109.94 and 226,484.16

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Solution

The fourth proportional to 417,470.82, 576,109.94 and 226,484.16 is: 312,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,470.82 : 576,109.94 = 226,484.16 : x
  2. Step 2: Convert to fraction form
    417,470.82/576,109.94 = 226,484.16/x
  3. Step 3: Cross multiply
    417,470.82x = 576,109.94 × 226,484.16
  4. Step 4: Simplify right side
    417,470.82x = 130,479,772,535.72
  5. Step 5: Solve for x
    x = 130,479,772,535.72/417,470.82
  6. Step 6: Final answer
    x = 312,548.25

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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.