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Finding the Fourth Proportional to 341,285.68, 470,879.76 and 220,432.06

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Solution

The fourth proportional to 341,285.68, 470,879.76 and 220,432.06 is: 304,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,285.68 : 470,879.76 = 220,432.06 : x
  2. Step 2: Convert to fraction form
    341,285.68/470,879.76 = 220,432.06/x
  3. Step 3: Cross multiply
    341,285.68x = 470,879.76 × 220,432.06
  4. Step 4: Simplify right side
    341,285.68x = 103,796,995,509.11
  5. Step 5: Solve for x
    x = 103,796,995,509.11/341,285.68
  6. Step 6: Final answer
    x = 304,135.22

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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.