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Finding the Fourth Proportional to 507,033.14, 759,456.32 and 477,222.62

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Solution

The fourth proportional to 507,033.14, 759,456.32 and 477,222.62 is: 714,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,033.14 : 759,456.32 = 477,222.62 : x
  2. Step 2: Convert to fraction form
    507,033.14/759,456.32 = 477,222.62/x
  3. Step 3: Cross multiply
    507,033.14x = 759,456.32 × 477,222.62
  4. Step 4: Simplify right side
    507,033.14x = 362,429,728,622.56
  5. Step 5: Solve for x
    x = 362,429,728,622.56/507,033.14
  6. Step 6: Final answer
    x = 714,804.82

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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.