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Finding the Fourth Proportional to 405,913.86, 608,924.58 and 149,711.94

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Solution

The fourth proportional to 405,913.86, 608,924.58 and 149,711.94 is: 224,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,913.86 : 608,924.58 = 149,711.94 : x
  2. Step 2: Convert to fraction form
    405,913.86/608,924.58 = 149,711.94/x
  3. Step 3: Cross multiply
    405,913.86x = 608,924.58 × 149,711.94
  4. Step 4: Simplify right side
    405,913.86x = 91,163,280,185.49
  5. Step 5: Solve for x
    x = 91,163,280,185.49/405,913.86
  6. Step 6: Final answer
    x = 224,587.75

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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.