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Finding the Fourth Proportional to 569,016.12, 785,233.08 and 310,887.53

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Solution

The fourth proportional to 569,016.12, 785,233.08 and 310,887.53 is: 429,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,016.12 : 785,233.08 = 310,887.53 : x
  2. Step 2: Convert to fraction form
    569,016.12/785,233.08 = 310,887.53/x
  3. Step 3: Cross multiply
    569,016.12x = 785,233.08 × 310,887.53
  4. Step 4: Simplify right side
    569,016.12x = 244,119,168,789.33
  5. Step 5: Solve for x
    x = 244,119,168,789.33/569,016.12
  6. Step 6: Final answer
    x = 429,019.78

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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.