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Finding the Fourth Proportional to 295,598.75, 407,926.32 and 161,462.75

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Solution

The fourth proportional to 295,598.75, 407,926.32 and 161,462.75 is: 222,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,598.75 : 407,926.32 = 161,462.75 : x
  2. Step 2: Convert to fraction form
    295,598.75/407,926.32 = 161,462.75/x
  3. Step 3: Cross multiply
    295,598.75x = 407,926.32 × 161,462.75
  4. Step 4: Simplify right side
    295,598.75x = 65,864,905,424.58
  5. Step 5: Solve for x
    x = 65,864,905,424.58/295,598.75
  6. Step 6: Final answer
    x = 222,818.62

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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.