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Finding the Fourth Proportional to 547,144.19, 820,746.22 and 227,328.40

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Solution

The fourth proportional to 547,144.19, 820,746.22 and 227,328.40 is: 341,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,144.19 : 820,746.22 = 227,328.40 : x
  2. Step 2: Convert to fraction form
    547,144.19/820,746.22 = 227,328.40/x
  3. Step 3: Cross multiply
    547,144.19x = 820,746.22 × 227,328.40
  4. Step 4: Simplify right side
    547,144.19x = 186,578,922,854.87
  5. Step 5: Solve for x
    x = 186,578,922,854.87/547,144.19
  6. Step 6: Final answer
    x = 341,005.04

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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.