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Finding the Fourth Proportional to 517,717.90, 776,115.15 and 202,101.40

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Solution

The fourth proportional to 517,717.90, 776,115.15 and 202,101.40 is: 302,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,717.90 : 776,115.15 = 202,101.40 : x
  2. Step 2: Convert to fraction form
    517,717.90/776,115.15 = 202,101.40/x
  3. Step 3: Cross multiply
    517,717.90x = 776,115.15 × 202,101.40
  4. Step 4: Simplify right side
    517,717.90x = 156,853,958,376.21
  5. Step 5: Solve for x
    x = 156,853,958,376.21/517,717.90
  6. Step 6: Final answer
    x = 302,971.87

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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.