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Finding the Fourth Proportional to 510,885.06, 705,053.61 and 284,530.02

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Solution

The fourth proportional to 510,885.06, 705,053.61 and 284,530.02 is: 392,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,885.06 : 705,053.61 = 284,530.02 : x
  2. Step 2: Convert to fraction form
    510,885.06/705,053.61 = 284,530.02/x
  3. Step 3: Cross multiply
    510,885.06x = 705,053.61 × 284,530.02
  4. Step 4: Simplify right side
    510,885.06x = 200,608,917,754.37
  5. Step 5: Solve for x
    x = 200,608,917,754.37/510,885.06
  6. Step 6: Final answer
    x = 392,669.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.