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Finding the Fourth Proportional to 510,369.12, 765,717.60 and 155,451.84

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Solution

The fourth proportional to 510,369.12, 765,717.60 and 155,451.84 is: 233,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,369.12 : 765,717.60 = 155,451.84 : x
  2. Step 2: Convert to fraction form
    510,369.12/765,717.60 = 155,451.84/x
  3. Step 3: Cross multiply
    510,369.12x = 765,717.60 × 155,451.84
  4. Step 4: Simplify right side
    510,369.12x = 119,032,209,840.38
  5. Step 5: Solve for x
    x = 119,032,209,840.38/510,369.12
  6. Step 6: Final answer
    x = 233,227.69

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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.