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Finding the Fourth Proportional to 532,318.08, 798,633 and 199,920

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Solution

The fourth proportional to 532,318.08, 798,633 and 199,920 is: 299,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,318.08 : 798,633 = 199,920 : x
  2. Step 2: Convert to fraction form
    532,318.08/798,633 = 199,920/x
  3. Step 3: Cross multiply
    532,318.08x = 798,633 × 199,920
  4. Step 4: Simplify right side
    532,318.08x = 159,662,709,360
  5. Step 5: Solve for x
    x = 159,662,709,360/532,318.08
  6. Step 6: Final answer
    x = 299,938.54

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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.