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Finding the Fourth Proportional to 360,918, 498,054.36 and 199,780.08

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Solution

The fourth proportional to 360,918, 498,054.36 and 199,780.08 is: 275,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,918 : 498,054.36 = 199,780.08 : x
  2. Step 2: Convert to fraction form
    360,918/498,054.36 = 199,780.08/x
  3. Step 3: Cross multiply
    360,918x = 498,054.36 × 199,780.08
  4. Step 4: Simplify right side
    360,918x = 99,501,339,885.15
  5. Step 5: Solve for x
    x = 99,501,339,885.15/360,918
  6. Step 6: Final answer
    x = 275,689.60

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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.