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Finding the Fourth Proportional to 354,547.88, 531,523.50 and 164,911.89

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Solution

The fourth proportional to 354,547.88, 531,523.50 and 164,911.89 is: 247,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,547.88 : 531,523.50 = 164,911.89 : x
  2. Step 2: Convert to fraction form
    354,547.88/531,523.50 = 164,911.89/x
  3. Step 3: Cross multiply
    354,547.88x = 531,523.50 × 164,911.89
  4. Step 4: Simplify right side
    354,547.88x = 87,654,544,964.42
  5. Step 5: Solve for x
    x = 87,654,544,964.42/354,547.88
  6. Step 6: Final answer
    x = 247,229.08

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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.