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Finding the Fourth Proportional to 509,846.70, 764,045.91 and 375,671.82

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Solution

The fourth proportional to 509,846.70, 764,045.91 and 375,671.82 is: 562,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,846.70 : 764,045.91 = 375,671.82 : x
  2. Step 2: Convert to fraction form
    509,846.70/764,045.91 = 375,671.82/x
  3. Step 3: Cross multiply
    509,846.70x = 764,045.91 × 375,671.82
  4. Step 4: Simplify right side
    509,846.70x = 287,030,517,573.26
  5. Step 5: Solve for x
    x = 287,030,517,573.26/509,846.70
  6. Step 6: Final answer
    x = 562,974.16

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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.