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Finding the Fourth Proportional to 514,072.68, 771,137.70 and 159,058.98

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Solution

The fourth proportional to 514,072.68, 771,137.70 and 159,058.98 is: 238,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,072.68 : 771,137.70 = 159,058.98 : x
  2. Step 2: Convert to fraction form
    514,072.68/771,137.70 = 159,058.98/x
  3. Step 3: Cross multiply
    514,072.68x = 771,137.70 × 159,058.98
  4. Step 4: Simplify right side
    514,072.68x = 122,656,376,001.55
  5. Step 5: Solve for x
    x = 122,656,376,001.55/514,072.68
  6. Step 6: Final answer
    x = 238,597.34

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Why These Related Problems?

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