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Finding the Fourth Proportional to 301,875.62, 416,149.35 and 210,949.37

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Solution

The fourth proportional to 301,875.62, 416,149.35 and 210,949.37 is: 290,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,875.62 : 416,149.35 = 210,949.37 : x
  2. Step 2: Convert to fraction form
    301,875.62/416,149.35 = 210,949.37/x
  3. Step 3: Cross multiply
    301,875.62x = 416,149.35 × 210,949.37
  4. Step 4: Simplify right side
    301,875.62x = 87,786,441,127.66
  5. Step 5: Solve for x
    x = 87,786,441,127.66/301,875.62
  6. Step 6: Final answer
    x = 290,803.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.