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Finding the Fourth Proportional to 508,924.46, 763,649.14 and 209,626.22

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Solution

The fourth proportional to 508,924.46, 763,649.14 and 209,626.22 is: 314,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,924.46 : 763,649.14 = 209,626.22 : x
  2. Step 2: Convert to fraction form
    508,924.46/763,649.14 = 209,626.22/x
  3. Step 3: Cross multiply
    508,924.46x = 763,649.14 × 209,626.22
  4. Step 4: Simplify right side
    508,924.46x = 160,080,882,624.45
  5. Step 5: Solve for x
    x = 160,080,882,624.45/508,924.46
  6. Step 6: Final answer
    x = 314,547.43

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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.