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Finding the Fourth Proportional to 356,102.60, 533,117.10 and 345,734.60

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Solution

The fourth proportional to 356,102.60, 533,117.10 and 345,734.60 is: 517,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,102.60 : 533,117.10 = 345,734.60 : x
  2. Step 2: Convert to fraction form
    356,102.60/533,117.10 = 345,734.60/x
  3. Step 3: Cross multiply
    356,102.60x = 533,117.10 × 345,734.60
  4. Step 4: Simplify right side
    356,102.60x = 184,317,027,321.66
  5. Step 5: Solve for x
    x = 184,317,027,321.66/356,102.60
  6. Step 6: Final answer
    x = 517,595.29

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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.