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Finding the Fourth Proportional to 312,282.24, 468,374.64 and 101,873.52

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Solution

The fourth proportional to 312,282.24, 468,374.64 and 101,873.52 is: 152,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,282.24 : 468,374.64 = 101,873.52 : x
  2. Step 2: Convert to fraction form
    312,282.24/468,374.64 = 101,873.52/x
  3. Step 3: Cross multiply
    312,282.24x = 468,374.64 × 101,873.52
  4. Step 4: Simplify right side
    312,282.24x = 47,714,973,255.53
  5. Step 5: Solve for x
    x = 47,714,973,255.53/312,282.24
  6. Step 6: Final answer
    x = 152,794.39

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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.