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Finding the Fourth Proportional to 507,002.47, 760,454.40 and 133,025.47

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Solution

The fourth proportional to 507,002.47, 760,454.40 and 133,025.47 is: 199,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,002.47 : 760,454.40 = 133,025.47 : x
  2. Step 2: Convert to fraction form
    507,002.47/760,454.40 = 133,025.47/x
  3. Step 3: Cross multiply
    507,002.47x = 760,454.40 × 133,025.47
  4. Step 4: Simplify right side
    507,002.47x = 101,159,800,171.30
  5. Step 5: Solve for x
    x = 101,159,800,171.30/507,002.47
  6. Step 6: Final answer
    x = 199,525.26

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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.