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Finding the Fourth Proportional to 295,322.64, 407,546.49 and 166,263.32

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Solution

The fourth proportional to 295,322.64, 407,546.49 and 166,263.32 is: 229,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,322.64 : 407,546.49 = 166,263.32 : x
  2. Step 2: Convert to fraction form
    295,322.64/407,546.49 = 166,263.32/x
  3. Step 3: Cross multiply
    295,322.64x = 407,546.49 × 166,263.32
  4. Step 4: Simplify right side
    295,322.64x = 67,760,030,444.01
  5. Step 5: Solve for x
    x = 67,760,030,444.01/295,322.64
  6. Step 6: Final answer
    x = 229,444.08

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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.