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Finding the Fourth Proportional to 405,602.48, 608,357.24 and 106,111.96

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Solution

The fourth proportional to 405,602.48, 608,357.24 and 106,111.96 is: 159,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,602.48 : 608,357.24 = 106,111.96 : x
  2. Step 2: Convert to fraction form
    405,602.48/608,357.24 = 106,111.96/x
  3. Step 3: Cross multiply
    405,602.48x = 608,357.24 × 106,111.96
  4. Step 4: Simplify right side
    405,602.48x = 64,553,979,116.59
  5. Step 5: Solve for x
    x = 64,553,979,116.59/405,602.48
  6. Step 6: Final answer
    x = 159,155.78

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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.