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Finding the Fourth Proportional to 405,083.10, 607,639.23 and 152,340.42

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Solution

The fourth proportional to 405,083.10, 607,639.23 and 152,340.42 is: 228,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,083.10 : 607,639.23 = 152,340.42 : x
  2. Step 2: Convert to fraction form
    405,083.10/607,639.23 = 152,340.42/x
  3. Step 3: Cross multiply
    405,083.10x = 607,639.23 × 152,340.42
  4. Step 4: Simplify right side
    405,083.10x = 92,568,015,506.68
  5. Step 5: Solve for x
    x = 92,568,015,506.68/405,083.10
  6. Step 6: Final answer
    x = 228,516.11

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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.