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Finding the Fourth Proportional to 417,696.62, 576,421.88 and 226,710

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Solution

The fourth proportional to 417,696.62, 576,421.88 and 226,710 is: 312,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,696.62 : 576,421.88 = 226,710 : x
  2. Step 2: Convert to fraction form
    417,696.62/576,421.88 = 226,710/x
  3. Step 3: Cross multiply
    417,696.62x = 576,421.88 × 226,710
  4. Step 4: Simplify right side
    417,696.62x = 130,680,603,281.25
  5. Step 5: Solve for x
    x = 130,680,603,281.25/417,696.62
  6. Step 6: Final answer
    x = 312,860.10

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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.