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Finding the Fourth Proportional to 569,008.52, 785,286.06 and 310,924.70

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Solution

The fourth proportional to 569,008.52, 785,286.06 and 310,924.70 is: 429,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,008.52 : 785,286.06 = 310,924.70 : x
  2. Step 2: Convert to fraction form
    569,008.52/785,286.06 = 310,924.70/x
  3. Step 3: Cross multiply
    569,008.52x = 785,286.06 × 310,924.70
  4. Step 4: Simplify right side
    569,008.52x = 244,164,832,619.68
  5. Step 5: Solve for x
    x = 244,164,832,619.68/569,008.52
  6. Step 6: Final answer
    x = 429,105.76

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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.