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Finding the Fourth Proportional to 320,435.80, 480,077.70 and 153,856.60

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Solution

The fourth proportional to 320,435.80, 480,077.70 and 153,856.60 is: 230,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,435.80 : 480,077.70 = 153,856.60 : x
  2. Step 2: Convert to fraction form
    320,435.80/480,077.70 = 153,856.60/x
  3. Step 3: Cross multiply
    320,435.80x = 480,077.70 × 153,856.60
  4. Step 4: Simplify right side
    320,435.80x = 73,863,122,657.82
  5. Step 5: Solve for x
    x = 73,863,122,657.82/320,435.80
  6. Step 6: Final answer
    x = 230,508.33

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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.