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Finding the Fourth Proportional to 421,002.16, 580,991.34 and 230,027.40

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Solution

The fourth proportional to 421,002.16, 580,991.34 and 230,027.40 is: 317,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,002.16 : 580,991.34 = 230,027.40 : x
  2. Step 2: Convert to fraction form
    421,002.16/580,991.34 = 230,027.40/x
  3. Step 3: Cross multiply
    421,002.16x = 580,991.34 × 230,027.40
  4. Step 4: Simplify right side
    421,002.16x = 133,643,927,362.72
  5. Step 5: Solve for x
    x = 133,643,927,362.72/421,002.16
  6. Step 6: Final answer
    x = 317,442.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.