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Finding the Fourth Proportional to 329,746.92, 455,009.38 and 195,585

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Solution

The fourth proportional to 329,746.92, 455,009.38 and 195,585 is: 269,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,746.92 : 455,009.38 = 195,585 : x
  2. Step 2: Convert to fraction form
    329,746.92/455,009.38 = 195,585/x
  3. Step 3: Cross multiply
    329,746.92x = 455,009.38 × 195,585
  4. Step 4: Simplify right side
    329,746.92x = 88,993,009,587.30
  5. Step 5: Solve for x
    x = 88,993,009,587.30/329,746.92
  6. Step 6: Final answer
    x = 269,882.76

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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.