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Finding the Fourth Proportional to 298,024.52, 411,278.72 and 162,061.16

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Solution

The fourth proportional to 298,024.52, 411,278.72 and 162,061.16 is: 223,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,024.52 : 411,278.72 = 162,061.16 : x
  2. Step 2: Convert to fraction form
    298,024.52/411,278.72 = 162,061.16/x
  3. Step 3: Cross multiply
    298,024.52x = 411,278.72 × 162,061.16
  4. Step 4: Simplify right side
    298,024.52x = 66,652,303,579.82
  5. Step 5: Solve for x
    x = 66,652,303,579.82/298,024.52
  6. Step 6: Final answer
    x = 223,647.05

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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.