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Finding the Fourth Proportional to 417,653.13, 576,361.32 and 226,666.52

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Solution

The fourth proportional to 417,653.13, 576,361.32 and 226,666.52 is: 312,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,653.13 : 576,361.32 = 226,666.52 : x
  2. Step 2: Convert to fraction form
    417,653.13/576,361.32 = 226,666.52/x
  3. Step 3: Cross multiply
    417,653.13x = 576,361.32 × 226,666.52
  4. Step 4: Simplify right side
    417,653.13x = 130,641,814,667.01
  5. Step 5: Solve for x
    x = 130,641,814,667.01/417,653.13
  6. Step 6: Final answer
    x = 312,799.80

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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.