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Finding the Fourth Proportional to 295,283.23, 407,490.72 and 161,147.23

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Solution

The fourth proportional to 295,283.23, 407,490.72 and 161,147.23 is: 222,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,283.23 : 407,490.72 = 161,147.23 : x
  2. Step 2: Convert to fraction form
    295,283.23/407,490.72 = 161,147.23/x
  3. Step 3: Cross multiply
    295,283.23x = 407,490.72 × 161,147.23
  4. Step 4: Simplify right side
    295,283.23x = 65,666,000,778.71
  5. Step 5: Solve for x
    x = 65,666,000,778.71/295,283.23
  6. Step 6: Final answer
    x = 222,383.10

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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.