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Finding the Fourth Proportional to 312,683.29, 469,652.51 and 186,569.60

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Solution

The fourth proportional to 312,683.29, 469,652.51 and 186,569.60 is: 280,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,683.29 : 469,652.51 = 186,569.60 : x
  2. Step 2: Convert to fraction form
    312,683.29/469,652.51 = 186,569.60/x
  3. Step 3: Cross multiply
    312,683.29x = 469,652.51 × 186,569.60
  4. Step 4: Simplify right side
    312,683.29x = 87,622,879,047.86
  5. Step 5: Solve for x
    x = 87,622,879,047.86/312,683.29
  6. Step 6: Final answer
    x = 280,228.85

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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.