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Finding the Fourth Proportional to 417,416.59, 576,036.36 and 226,431.35

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Solution

The fourth proportional to 417,416.59, 576,036.36 and 226,431.35 is: 312,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,416.59 : 576,036.36 = 226,431.35 : x
  2. Step 2: Convert to fraction form
    417,416.59/576,036.36 = 226,431.35/x
  3. Step 3: Cross multiply
    417,416.59x = 576,036.36 × 226,431.35
  4. Step 4: Simplify right side
    417,416.59x = 130,432,689,923.84
  5. Step 5: Solve for x
    x = 130,432,689,923.84/417,416.59
  6. Step 6: Final answer
    x = 312,476.06

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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.