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Finding the Fourth Proportional to 290,561.36, 400,953.12 and 163,258.16

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Solution

The fourth proportional to 290,561.36, 400,953.12 and 163,258.16 is: 225,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,561.36 : 400,953.12 = 163,258.16 : x
  2. Step 2: Convert to fraction form
    290,561.36/400,953.12 = 163,258.16/x
  3. Step 3: Cross multiply
    290,561.36x = 400,953.12 × 163,258.16
  4. Step 4: Simplify right side
    290,561.36x = 65,458,868,617.46
  5. Step 5: Solve for x
    x = 65,458,868,617.46/290,561.36
  6. Step 6: Final answer
    x = 225,284.15

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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.