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Finding the Fourth Proportional to 493,075.53, 739,639.41 and 156,151.98

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Solution

The fourth proportional to 493,075.53, 739,639.41 and 156,151.98 is: 234,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,075.53 : 739,639.41 = 156,151.98 : x
  2. Step 2: Convert to fraction form
    493,075.53/739,639.41 = 156,151.98/x
  3. Step 3: Cross multiply
    493,075.53x = 739,639.41 × 156,151.98
  4. Step 4: Simplify right side
    493,075.53x = 115,496,158,357.53
  5. Step 5: Solve for x
    x = 115,496,158,357.53/493,075.53
  6. Step 6: Final answer
    x = 234,236.24

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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.