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Finding the Fourth Proportional to 346,523.20, 519,979.20 and 146,809.60

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Solution

The fourth proportional to 346,523.20, 519,979.20 and 146,809.60 is: 220,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,523.20 : 519,979.20 = 146,809.60 : x
  2. Step 2: Convert to fraction form
    346,523.20/519,979.20 = 146,809.60/x
  3. Step 3: Cross multiply
    346,523.20x = 519,979.20 × 146,809.60
  4. Step 4: Simplify right side
    346,523.20x = 76,337,938,360.32
  5. Step 5: Solve for x
    x = 76,337,938,360.32/346,523.20
  6. Step 6: Final answer
    x = 220,296.76

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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.