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Finding the Fourth Proportional to 364,508.25, 546,790.94 and 98,264.70

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Solution

The fourth proportional to 364,508.25, 546,790.94 and 98,264.70 is: 147,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,508.25 : 546,790.94 = 98,264.70 : x
  2. Step 2: Convert to fraction form
    364,508.25/546,790.94 = 98,264.70/x
  3. Step 3: Cross multiply
    364,508.25x = 546,790.94 × 98,264.70
  4. Step 4: Simplify right side
    364,508.25x = 53,730,247,190.49
  5. Step 5: Solve for x
    x = 53,730,247,190.49/364,508.25
  6. Step 6: Final answer
    x = 147,404.75

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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.