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Finding the Fourth Proportional to 417,808.72, 576,578.82 and 226,823.14

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Solution

The fourth proportional to 417,808.72, 576,578.82 and 226,823.14 is: 313,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,808.72 : 576,578.82 = 226,823.14 : x
  2. Step 2: Convert to fraction form
    417,808.72/576,578.82 = 226,823.14/x
  3. Step 3: Cross multiply
    417,808.72x = 576,578.82 × 226,823.14
  4. Step 4: Simplify right side
    417,808.72x = 130,781,418,409.90
  5. Step 5: Solve for x
    x = 130,781,418,409.90/417,808.72
  6. Step 6: Final answer
    x = 313,017.45

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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.