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Finding the Fourth Proportional to 467,208.95, 700,976.06 and 147,410.19

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Solution

The fourth proportional to 467,208.95, 700,976.06 and 147,410.19 is: 221,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,208.95 : 700,976.06 = 147,410.19 : x
  2. Step 2: Convert to fraction form
    467,208.95/700,976.06 = 147,410.19/x
  3. Step 3: Cross multiply
    467,208.95x = 700,976.06 × 147,410.19
  4. Step 4: Simplify right side
    467,208.95x = 103,331,013,453.00
  5. Step 5: Solve for x
    x = 103,331,013,453.00/467,208.95
  6. Step 6: Final answer
    x = 221,166.60

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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.