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Finding the Fourth Proportional to 295,482.48, 407,767.32 and 161,346.48

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Solution

The fourth proportional to 295,482.48, 407,767.32 and 161,346.48 is: 222,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,482.48 : 407,767.32 = 161,346.48 : x
  2. Step 2: Convert to fraction form
    295,482.48/407,767.32 = 161,346.48/x
  3. Step 3: Cross multiply
    295,482.48x = 407,767.32 × 161,346.48
  4. Step 4: Simplify right side
    295,482.48x = 65,791,821,741.03
  5. Step 5: Solve for x
    x = 65,791,821,741.03/295,482.48
  6. Step 6: Final answer
    x = 222,658.96

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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.