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Finding the Fourth Proportional to 510,751.36, 766,097.88 and 195,240.16

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Solution

The fourth proportional to 510,751.36, 766,097.88 and 195,240.16 is: 292,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,751.36 : 766,097.88 = 195,240.16 : x
  2. Step 2: Convert to fraction form
    510,751.36/766,097.88 = 195,240.16/x
  3. Step 3: Cross multiply
    510,751.36x = 766,097.88 × 195,240.16
  4. Step 4: Simplify right side
    510,751.36x = 149,573,072,666.86
  5. Step 5: Solve for x
    x = 149,573,072,666.86/510,751.36
  6. Step 6: Final answer
    x = 292,849.09

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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.