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Finding the Fourth Proportional to 354,048.25, 531,071.87 and 164,404.91

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Solution

The fourth proportional to 354,048.25, 531,071.87 and 164,404.91 is: 246,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,048.25 : 531,071.87 = 164,404.91 : x
  2. Step 2: Convert to fraction form
    354,048.25/531,071.87 = 164,404.91/x
  3. Step 3: Cross multiply
    354,048.25x = 531,071.87 × 164,404.91
  4. Step 4: Simplify right side
    354,048.25x = 87,310,822,168.86
  5. Step 5: Solve for x
    x = 87,310,822,168.86/354,048.25
  6. Step 6: Final answer
    x = 246,607.13

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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.