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Finding the Fourth Proportional to 354,547.75, 531,523.32 and 164,911.77

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Solution

The fourth proportional to 354,547.75, 531,523.32 and 164,911.77 is: 247,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,547.75 : 531,523.32 = 164,911.77 : x
  2. Step 2: Convert to fraction form
    354,547.75/531,523.32 = 164,911.77/x
  3. Step 3: Cross multiply
    354,547.75x = 531,523.32 × 164,911.77
  4. Step 4: Simplify right side
    354,547.75x = 87,654,451,497.48
  5. Step 5: Solve for x
    x = 87,654,451,497.48/354,547.75
  6. Step 6: Final answer
    x = 247,228.90

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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.