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Finding the Fourth Proportional to 562,433.42, 843,774.05 and 163,090.86

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Solution

The fourth proportional to 562,433.42, 843,774.05 and 163,090.86 is: 244,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,433.42 : 843,774.05 = 163,090.86 : x
  2. Step 2: Convert to fraction form
    562,433.42/843,774.05 = 163,090.86/x
  3. Step 3: Cross multiply
    562,433.42x = 843,774.05 × 163,090.86
  4. Step 4: Simplify right side
    562,433.42x = 137,611,835,867.91
  5. Step 5: Solve for x
    x = 137,611,835,867.91/562,433.42
  6. Step 6: Final answer
    x = 244,672.23

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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.