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Finding the Fourth Proportional to 341,902.60, 512,853.90 and 152,362.60

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Solution

The fourth proportional to 341,902.60, 512,853.90 and 152,362.60 is: 228,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,902.60 : 512,853.90 = 152,362.60 : x
  2. Step 2: Convert to fraction form
    341,902.60/512,853.90 = 152,362.60/x
  3. Step 3: Cross multiply
    341,902.60x = 512,853.90 × 152,362.60
  4. Step 4: Simplify right side
    341,902.60x = 78,139,753,624.14
  5. Step 5: Solve for x
    x = 78,139,753,624.14/341,902.60
  6. Step 6: Final answer
    x = 228,543.90

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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.