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Finding the Fourth Proportional to 414,505, 572,016.90 and 235,657

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Solution

The fourth proportional to 414,505, 572,016.90 and 235,657 is: 325,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,505 : 572,016.90 = 235,657 : x
  2. Step 2: Convert to fraction form
    414,505/572,016.90 = 235,657/x
  3. Step 3: Cross multiply
    414,505x = 572,016.90 × 235,657
  4. Step 4: Simplify right side
    414,505x = 134,799,786,603.30
  5. Step 5: Solve for x
    x = 134,799,786,603.30/414,505
  6. Step 6: Final answer
    x = 325,206.66

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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.