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Finding the Fourth Proportional to 293,683.60, 440,542.16 and 83,305

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Solution

The fourth proportional to 293,683.60, 440,542.16 and 83,305 is: 124,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,683.60 : 440,542.16 = 83,305 : x
  2. Step 2: Convert to fraction form
    293,683.60/440,542.16 = 83,305/x
  3. Step 3: Cross multiply
    293,683.60x = 440,542.16 × 83,305
  4. Step 4: Simplify right side
    293,683.60x = 36,699,364,638.80
  5. Step 5: Solve for x
    x = 36,699,364,638.80/293,683.60
  6. Step 6: Final answer
    x = 124,962.25

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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.