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Finding the Fourth Proportional to 417,699.51, 576,425.85 and 226,712.97

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Solution

The fourth proportional to 417,699.51, 576,425.85 and 226,712.97 is: 312,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,699.51 : 576,425.85 = 226,712.97 : x
  2. Step 2: Convert to fraction form
    417,699.51/576,425.85 = 226,712.97/x
  3. Step 3: Cross multiply
    417,699.51x = 576,425.85 × 226,712.97
  4. Step 4: Simplify right side
    417,699.51x = 130,683,216,438.27
  5. Step 5: Solve for x
    x = 130,683,216,438.27/417,699.51
  6. Step 6: Final answer
    x = 312,864.18

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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.