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Finding the Fourth Proportional to 600,546.46, 829,054.02 and 345,848.44

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Solution

The fourth proportional to 600,546.46, 829,054.02 and 345,848.44 is: 477,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,546.46 : 829,054.02 = 345,848.44 : x
  2. Step 2: Convert to fraction form
    600,546.46/829,054.02 = 345,848.44/x
  3. Step 3: Cross multiply
    600,546.46x = 829,054.02 × 345,848.44
  4. Step 4: Simplify right side
    600,546.46x = 286,727,039,492.73
  5. Step 5: Solve for x
    x = 286,727,039,492.73/600,546.46
  6. Step 6: Final answer
    x = 477,443.56

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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.