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Finding the Fourth Proportional to 514,368.50, 771,270.86 and 159,283.94

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Solution

The fourth proportional to 514,368.50, 771,270.86 and 159,283.94 is: 238,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,368.50 : 771,270.86 = 159,283.94 : x
  2. Step 2: Convert to fraction form
    514,368.50/771,270.86 = 159,283.94/x
  3. Step 3: Cross multiply
    514,368.50x = 771,270.86 × 159,283.94
  4. Step 4: Simplify right side
    514,368.50x = 122,851,056,735.21
  5. Step 5: Solve for x
    x = 122,851,056,735.21/514,368.50
  6. Step 6: Final answer
    x = 238,838.61

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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.