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Finding the Fourth Proportional to 649,089.38, 973,426.28 and 216,714

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Solution

The fourth proportional to 649,089.38, 973,426.28 and 216,714 is: 325,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,089.38 : 973,426.28 = 216,714 : x
  2. Step 2: Convert to fraction form
    649,089.38/973,426.28 = 216,714/x
  3. Step 3: Cross multiply
    649,089.38x = 973,426.28 × 216,714
  4. Step 4: Simplify right side
    649,089.38x = 210,955,101,760.35
  5. Step 5: Solve for x
    x = 210,955,101,760.35/649,089.38
  6. Step 6: Final answer
    x = 325,001.63

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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.