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Finding the Fourth Proportional to 519,762.96, 779,754.60 and 164,730.24

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Solution

The fourth proportional to 519,762.96, 779,754.60 and 164,730.24 is: 247,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,762.96 : 779,754.60 = 164,730.24 : x
  2. Step 2: Convert to fraction form
    519,762.96/779,754.60 = 164,730.24/x
  3. Step 3: Cross multiply
    519,762.96x = 779,754.60 × 164,730.24
  4. Step 4: Simplify right side
    519,762.96x = 128,449,162,399.10
  5. Step 5: Solve for x
    x = 128,449,162,399.10/519,762.96
  6. Step 6: Final answer
    x = 247,130.27

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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.