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Finding the Fourth Proportional to 293,770, 440,653.92 and 83,407.96

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Solution

The fourth proportional to 293,770, 440,653.92 and 83,407.96 is: 125,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,770 : 440,653.92 = 83,407.96 : x
  2. Step 2: Convert to fraction form
    293,770/440,653.92 = 83,407.96/x
  3. Step 3: Cross multiply
    293,770x = 440,653.92 × 83,407.96
  4. Step 4: Simplify right side
    293,770x = 36,754,044,533.20
  5. Step 5: Solve for x
    x = 36,754,044,533.20/293,770
  6. Step 6: Final answer
    x = 125,111.63

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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.