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Finding the Fourth Proportional to 298,226.83, 411,557.24 and 162,260.87

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Solution

The fourth proportional to 298,226.83, 411,557.24 and 162,260.87 is: 223,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,226.83 : 411,557.24 = 162,260.87 : x
  2. Step 2: Convert to fraction form
    298,226.83/411,557.24 = 162,260.87/x
  3. Step 3: Cross multiply
    298,226.83x = 411,557.24 × 162,260.87
  4. Step 4: Simplify right side
    298,226.83x = 66,779,635,817.20
  5. Step 5: Solve for x
    x = 66,779,635,817.20/298,226.83
  6. Step 6: Final answer
    x = 223,922.29

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1.5x scale

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.