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Finding the Fourth Proportional to 294,997.39, 407,095.64 and 160,861.39

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Solution

The fourth proportional to 294,997.39, 407,095.64 and 160,861.39 is: 221,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,997.39 : 407,095.64 = 160,861.39 : x
  2. Step 2: Convert to fraction form
    294,997.39/407,095.64 = 160,861.39/x
  3. Step 3: Cross multiply
    294,997.39x = 407,095.64 × 160,861.39
  4. Step 4: Simplify right side
    294,997.39x = 65,485,970,513.34
  5. Step 5: Solve for x
    x = 65,485,970,513.34/294,997.39
  6. Step 6: Final answer
    x = 221,988.30

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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.