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Finding the Fourth Proportional to 699,418.13, 965,232.45 and 412,932.06

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Solution

The fourth proportional to 699,418.13, 965,232.45 and 412,932.06 is: 569,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,418.13 : 965,232.45 = 412,932.06 : x
  2. Step 2: Convert to fraction form
    699,418.13/965,232.45 = 412,932.06/x
  3. Step 3: Cross multiply
    699,418.13x = 965,232.45 × 412,932.06
  4. Step 4: Simplify right side
    699,418.13x = 398,575,423,957.35
  5. Step 5: Solve for x
    x = 398,575,423,957.35/699,418.13
  6. Step 6: Final answer
    x = 569,867.16

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