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Finding the Fourth Proportional to 397,856.16, 596,778.37 and 98,336.77

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Solution

The fourth proportional to 397,856.16, 596,778.37 and 98,336.77 is: 147,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,856.16 : 596,778.37 = 98,336.77 : x
  2. Step 2: Convert to fraction form
    397,856.16/596,778.37 = 98,336.77/x
  3. Step 3: Cross multiply
    397,856.16x = 596,778.37 × 98,336.77
  4. Step 4: Simplify right side
    397,856.16x = 58,685,255,573.88
  5. Step 5: Solve for x
    x = 58,685,255,573.88/397,856.16
  6. Step 6: Final answer
    x = 147,503.70

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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.