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Finding the Fourth Proportional to 510,102.30, 765,153.45 and 478,998.30

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Solution

The fourth proportional to 510,102.30, 765,153.45 and 478,998.30 is: 718,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,102.30 : 765,153.45 = 478,998.30 : x
  2. Step 2: Convert to fraction form
    510,102.30/765,153.45 = 478,998.30/x
  3. Step 3: Cross multiply
    510,102.30x = 765,153.45 × 478,998.30
  4. Step 4: Simplify right side
    510,102.30x = 366,507,201,789.14
  5. Step 5: Solve for x
    x = 366,507,201,789.14/510,102.30
  6. Step 6: Final answer
    x = 718,497.45

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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.