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Finding the Fourth Proportional to 417,584.01, 576,267.47 and 226,597.40

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Solution

The fourth proportional to 417,584.01, 576,267.47 and 226,597.40 is: 312,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,584.01 : 576,267.47 = 226,597.40 : x
  2. Step 2: Convert to fraction form
    417,584.01/576,267.47 = 226,597.40/x
  3. Step 3: Cross multiply
    417,584.01x = 576,267.47 × 226,597.40
  4. Step 4: Simplify right side
    417,584.01x = 130,580,709,403.00
  5. Step 5: Solve for x
    x = 130,580,709,403.00/417,584.01
  6. Step 6: Final answer
    x = 312,705.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.