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Finding the Fourth Proportional to 600,433.32, 828,806.22 and 345,885.96

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Solution

The fourth proportional to 600,433.32, 828,806.22 and 345,885.96 is: 477,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,433.32 : 828,806.22 = 345,885.96 : x
  2. Step 2: Convert to fraction form
    600,433.32/828,806.22 = 345,885.96/x
  3. Step 3: Cross multiply
    600,433.32x = 828,806.22 × 345,885.96
  4. Step 4: Simplify right side
    600,433.32x = 286,672,435,058.67
  5. Step 5: Solve for x
    x = 286,672,435,058.67/600,433.32
  6. Step 6: Final answer
    x = 477,442.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.