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Finding the Fourth Proportional to 357,466.60, 535,940.70 and 146,996.20

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Solution

The fourth proportional to 357,466.60, 535,940.70 and 146,996.20 is: 220,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,466.60 : 535,940.70 = 146,996.20 : x
  2. Step 2: Convert to fraction form
    357,466.60/535,940.70 = 146,996.20/x
  3. Step 3: Cross multiply
    357,466.60x = 535,940.70 × 146,996.20
  4. Step 4: Simplify right side
    357,466.60x = 78,781,246,325.34
  5. Step 5: Solve for x
    x = 78,781,246,325.34/357,466.60
  6. Step 6: Final answer
    x = 220,387.71

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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.