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Finding the Fourth Proportional to 293,765, 440,646.42 and 83,402.96

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Solution

The fourth proportional to 293,765, 440,646.42 and 83,402.96 is: 125,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,765 : 440,646.42 = 83,402.96 : x
  2. Step 2: Convert to fraction form
    293,765/440,646.42 = 83,402.96/x
  3. Step 3: Cross multiply
    293,765x = 440,646.42 × 83,402.96
  4. Step 4: Simplify right side
    293,765x = 36,751,215,741.40
  5. Step 5: Solve for x
    x = 36,751,215,741.40/293,765
  6. Step 6: Final answer
    x = 125,104.13

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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.