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Finding the Fourth Proportional to 430,794.90, 646,262.48 and 127,219.76

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Solution

The fourth proportional to 430,794.90, 646,262.48 and 127,219.76 is: 190,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,794.90 : 646,262.48 = 127,219.76 : x
  2. Step 2: Convert to fraction form
    430,794.90/646,262.48 = 127,219.76/x
  3. Step 3: Cross multiply
    430,794.90x = 646,262.48 × 127,219.76
  4. Step 4: Simplify right side
    430,794.90x = 82,217,357,920.65
  5. Step 5: Solve for x
    x = 82,217,357,920.65/430,794.90
  6. Step 6: Final answer
    x = 190,850.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.