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Finding the Fourth Proportional to 517,834.54, 776,849.82 and 202,271.50

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Solution

The fourth proportional to 517,834.54, 776,849.82 and 202,271.50 is: 303,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,834.54 : 776,849.82 = 202,271.50 : x
  2. Step 2: Convert to fraction form
    517,834.54/776,849.82 = 202,271.50/x
  3. Step 3: Cross multiply
    517,834.54x = 776,849.82 × 202,271.50
  4. Step 4: Simplify right side
    517,834.54x = 157,134,578,366.13
  5. Step 5: Solve for x
    x = 157,134,578,366.13/517,834.54
  6. Step 6: Final answer
    x = 303,445.53

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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.