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Finding the Fourth Proportional to 293,741, 405,363.68 and 159,605

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Solution

The fourth proportional to 293,741, 405,363.68 and 159,605 is: 220,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,741 : 405,363.68 = 159,605 : x
  2. Step 2: Convert to fraction form
    293,741/405,363.68 = 159,605/x
  3. Step 3: Cross multiply
    293,741x = 405,363.68 × 159,605
  4. Step 4: Simplify right side
    293,741x = 64,698,070,146.40
  5. Step 5: Solve for x
    x = 64,698,070,146.40/293,741
  6. Step 6: Final answer
    x = 220,255.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.