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Finding the Fourth Proportional to 506,546.62, 759,821.34 and 207,027.25

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Solution

The fourth proportional to 506,546.62, 759,821.34 and 207,027.25 is: 310,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,546.62 : 759,821.34 = 207,027.25 : x
  2. Step 2: Convert to fraction form
    506,546.62/759,821.34 = 207,027.25/x
  3. Step 3: Cross multiply
    506,546.62x = 759,821.34 × 207,027.25
  4. Step 4: Simplify right side
    506,546.62x = 157,303,722,511.52
  5. Step 5: Solve for x
    x = 157,303,722,511.52/506,546.62
  6. Step 6: Final answer
    x = 310,541.45

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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.