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Finding the Fourth Proportional to 517,590.95, 776,396.75 and 138,511.08

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Solution

The fourth proportional to 517,590.95, 776,396.75 and 138,511.08 is: 207,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,590.95 : 776,396.75 = 138,511.08 : x
  2. Step 2: Convert to fraction form
    517,590.95/776,396.75 = 138,511.08/x
  3. Step 3: Cross multiply
    517,590.95x = 776,396.75 × 138,511.08
  4. Step 4: Simplify right side
    517,590.95x = 107,539,551,658.44
  5. Step 5: Solve for x
    x = 107,539,551,658.44/517,590.95
  6. Step 6: Final answer
    x = 207,769.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.