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Finding the Fourth Proportional to 562,614.40, 844,328.16 and 221,108.64

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Solution

The fourth proportional to 562,614.40, 844,328.16 and 221,108.64 is: 331,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,614.40 : 844,328.16 = 221,108.64 : x
  2. Step 2: Convert to fraction form
    562,614.40/844,328.16 = 221,108.64/x
  3. Step 3: Cross multiply
    562,614.40x = 844,328.16 × 221,108.64
  4. Step 4: Simplify right side
    562,614.40x = 186,688,251,171.30
  5. Step 5: Solve for x
    x = 186,688,251,171.30/562,614.40
  6. Step 6: Final answer
    x = 331,822.74

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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.