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Finding the Fourth Proportional to 405,886.95, 608,834.61 and 181,258.83

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Solution

The fourth proportional to 405,886.95, 608,834.61 and 181,258.83 is: 271,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,886.95 : 608,834.61 = 181,258.83 : x
  2. Step 2: Convert to fraction form
    405,886.95/608,834.61 = 181,258.83/x
  3. Step 3: Cross multiply
    405,886.95x = 608,834.61 × 181,258.83
  4. Step 4: Simplify right side
    405,886.95x = 110,356,649,072.11
  5. Step 5: Solve for x
    x = 110,356,649,072.11/405,886.95
  6. Step 6: Final answer
    x = 271,890.11

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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.