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Finding the Fourth Proportional to 510,400.80, 765,601.20 and 230,464.80

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Solution

The fourth proportional to 510,400.80, 765,601.20 and 230,464.80 is: 345,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,400.80 : 765,601.20 = 230,464.80 : x
  2. Step 2: Convert to fraction form
    510,400.80/765,601.20 = 230,464.80/x
  3. Step 3: Cross multiply
    510,400.80x = 765,601.20 × 230,464.80
  4. Step 4: Simplify right side
    510,400.80x = 176,444,127,437.76
  5. Step 5: Solve for x
    x = 176,444,127,437.76/510,400.80
  6. Step 6: Final answer
    x = 345,697.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.