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Finding the Fourth Proportional to 522,513.21, 783,374.94 and 269,683.86

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Solution

The fourth proportional to 522,513.21, 783,374.94 and 269,683.86 is: 404,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,513.21 : 783,374.94 = 269,683.86 : x
  2. Step 2: Convert to fraction form
    522,513.21/783,374.94 = 269,683.86/x
  3. Step 3: Cross multiply
    522,513.21x = 783,374.94 × 269,683.86
  4. Step 4: Simplify right side
    522,513.21x = 211,263,577,646.47
  5. Step 5: Solve for x
    x = 211,263,577,646.47/522,513.21
  6. Step 6: Final answer
    x = 404,321.98

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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.