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Finding the Fourth Proportional to 350,982, 526,349.83 and 98,194.57

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Solution

The fourth proportional to 350,982, 526,349.83 and 98,194.57 is: 147,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,982 : 526,349.83 = 98,194.57 : x
  2. Step 2: Convert to fraction form
    350,982/526,349.83 = 98,194.57/x
  3. Step 3: Cross multiply
    350,982x = 526,349.83 × 98,194.57
  4. Step 4: Simplify right side
    350,982x = 51,684,695,226.42
  5. Step 5: Solve for x
    x = 51,684,695,226.42/350,982
  6. Step 6: Final answer
    x = 147,257.40

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Why These Related Problems?

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