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Finding the Fourth Proportional to 383,232.02, 573,763.62 and 202,907.82

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Solution

The fourth proportional to 383,232.02, 573,763.62 and 202,907.82 is: 303,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,232.02 : 573,763.62 = 202,907.82 : x
  2. Step 2: Convert to fraction form
    383,232.02/573,763.62 = 202,907.82/x
  3. Step 3: Cross multiply
    383,232.02x = 573,763.62 × 202,907.82
  4. Step 4: Simplify right side
    383,232.02x = 116,421,125,329.51
  5. Step 5: Solve for x
    x = 116,421,125,329.51/383,232.02
  6. Step 6: Final answer
    x = 303,787.57

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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.