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Finding the Fourth Proportional to 295,278.23, 407,483.84 and 161,142.23

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Solution

The fourth proportional to 295,278.23, 407,483.84 and 161,142.23 is: 222,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,278.23 : 407,483.84 = 161,142.23 : x
  2. Step 2: Convert to fraction form
    295,278.23/407,483.84 = 161,142.23/x
  3. Step 3: Cross multiply
    295,278.23x = 407,483.84 × 161,142.23
  4. Step 4: Simplify right side
    295,278.23x = 65,662,854,666.56
  5. Step 5: Solve for x
    x = 65,662,854,666.56/295,278.23
  6. Step 6: Final answer
    x = 222,376.21

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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.