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Finding the Fourth Proportional to 504,257.08, 756,533.75 and 149,280.32

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Solution

The fourth proportional to 504,257.08, 756,533.75 and 149,280.32 is: 223,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,257.08 : 756,533.75 = 149,280.32 : x
  2. Step 2: Convert to fraction form
    504,257.08/756,533.75 = 149,280.32/x
  3. Step 3: Cross multiply
    504,257.08x = 756,533.75 × 149,280.32
  4. Step 4: Simplify right side
    504,257.08x = 112,935,601,435.73
  5. Step 5: Solve for x
    x = 112,935,601,435.73/504,257.08
  6. Step 6: Final answer
    x = 223,964.34

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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.