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Finding the Fourth Proportional to 543,904.10, 814,243.35 and 404,281.70

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Solution

The fourth proportional to 543,904.10, 814,243.35 and 404,281.70 is: 605,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,904.10 : 814,243.35 = 404,281.70 : x
  2. Step 2: Convert to fraction form
    543,904.10/814,243.35 = 404,281.70/x
  3. Step 3: Cross multiply
    543,904.10x = 814,243.35 × 404,281.70
  4. Step 4: Simplify right side
    543,904.10x = 329,183,685,751.70
  5. Step 5: Solve for x
    x = 329,183,685,751.70/543,904.10
  6. Step 6: Final answer
    x = 605,223.76

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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.