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Finding the Fourth Proportional to 517,400.02, 776,100.24 and 232,758.09

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Solution

The fourth proportional to 517,400.02, 776,100.24 and 232,758.09 is: 349,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,400.02 : 776,100.24 = 232,758.09 : x
  2. Step 2: Convert to fraction form
    517,400.02/776,100.24 = 232,758.09/x
  3. Step 3: Cross multiply
    517,400.02x = 776,100.24 × 232,758.09
  4. Step 4: Simplify right side
    517,400.02x = 180,643,609,510.94
  5. Step 5: Solve for x
    x = 180,643,609,510.94/517,400.02
  6. Step 6: Final answer
    x = 349,137.23

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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.