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Finding the Fourth Proportional to 329,305.80, 492,792.30 and 224,329.80

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Solution

The fourth proportional to 329,305.80, 492,792.30 and 224,329.80 is: 335,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,305.80 : 492,792.30 = 224,329.80 : x
  2. Step 2: Convert to fraction form
    329,305.80/492,792.30 = 224,329.80/x
  3. Step 3: Cross multiply
    329,305.80x = 492,792.30 × 224,329.80
  4. Step 4: Simplify right side
    329,305.80x = 110,547,998,100.54
  5. Step 5: Solve for x
    x = 110,547,998,100.54/329,305.80
  6. Step 6: Final answer
    x = 335,700.12

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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.