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Finding the Fourth Proportional to 417,807.72, 576,577.44 and 226,822.14

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Solution

The fourth proportional to 417,807.72, 576,577.44 and 226,822.14 is: 313,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,807.72 : 576,577.44 = 226,822.14 : x
  2. Step 2: Convert to fraction form
    417,807.72/576,577.44 = 226,822.14/x
  3. Step 3: Cross multiply
    417,807.72x = 576,577.44 × 226,822.14
  4. Step 4: Simplify right side
    417,807.72x = 130,780,528,816.52
  5. Step 5: Solve for x
    x = 130,780,528,816.52/417,807.72
  6. Step 6: Final answer
    x = 313,016.07

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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.