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Finding the Fourth Proportional to 295,281.23, 407,487.98 and 161,145.23

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Solution

The fourth proportional to 295,281.23, 407,487.98 and 161,145.23 is: 222,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,281.23 : 407,487.98 = 161,145.23 : x
  2. Step 2: Convert to fraction form
    295,281.23/407,487.98 = 161,145.23/x
  3. Step 3: Cross multiply
    295,281.23x = 407,487.98 × 161,145.23
  4. Step 4: Simplify right side
    295,281.23x = 65,664,744,259.34
  5. Step 5: Solve for x
    x = 65,664,744,259.34/295,281.23
  6. Step 6: Final answer
    x = 222,380.35

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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.