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Finding the Fourth Proportional to 517,772.94, 776,704.32 and 158,024.88

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Solution

The fourth proportional to 517,772.94, 776,704.32 and 158,024.88 is: 237,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,772.94 : 776,704.32 = 158,024.88 : x
  2. Step 2: Convert to fraction form
    517,772.94/776,704.32 = 158,024.88/x
  3. Step 3: Cross multiply
    517,772.94x = 776,704.32 × 158,024.88
  4. Step 4: Simplify right side
    517,772.94x = 122,738,606,963.48
  5. Step 5: Solve for x
    x = 122,738,606,963.48/517,772.94
  6. Step 6: Final answer
    x = 237,051.03

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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.