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Finding the Fourth Proportional to 405,873.59, 608,227.92 and 228,006.23

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Solution

The fourth proportional to 405,873.59, 608,227.92 and 228,006.23 is: 341,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,873.59 : 608,227.92 = 228,006.23 : x
  2. Step 2: Convert to fraction form
    405,873.59/608,227.92 = 228,006.23/x
  3. Step 3: Cross multiply
    405,873.59x = 608,227.92 × 228,006.23
  4. Step 4: Simplify right side
    405,873.59x = 138,679,751,978.80
  5. Step 5: Solve for x
    x = 138,679,751,978.80/405,873.59
  6. Step 6: Final answer
    x = 341,682.13

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1.5x scale

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.