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Finding the Fourth Proportional to 405,737.32, 608,661.37 and 169,024.64

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Solution

The fourth proportional to 405,737.32, 608,661.37 and 169,024.64 is: 253,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,737.32 : 608,661.37 = 169,024.64 : x
  2. Step 2: Convert to fraction form
    405,737.32/608,661.37 = 169,024.64/x
  3. Step 3: Cross multiply
    405,737.32x = 608,661.37 × 169,024.64
  4. Step 4: Simplify right side
    405,737.32x = 102,878,769,537.85
  5. Step 5: Solve for x
    x = 102,878,769,537.85/405,737.32
  6. Step 6: Final answer
    x = 253,560.04

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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.