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Finding the Fourth Proportional to 228,747.40, 343,121.10 and 169,698.40

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Solution

The fourth proportional to 228,747.40, 343,121.10 and 169,698.40 is: 254,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,747.40 : 343,121.10 = 169,698.40 : x
  2. Step 2: Convert to fraction form
    228,747.40/343,121.10 = 169,698.40/x
  3. Step 3: Cross multiply
    228,747.40x = 343,121.10 × 169,698.40
  4. Step 4: Simplify right side
    228,747.40x = 58,227,101,676.24
  5. Step 5: Solve for x
    x = 58,227,101,676.24/228,747.40
  6. Step 6: Final answer
    x = 254,547.60

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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.