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Finding the Fourth Proportional to 290,813.38, 401,302.17 and 163,507.78

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Solution

The fourth proportional to 290,813.38, 401,302.17 and 163,507.78 is: 225,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,813.38 : 401,302.17 = 163,507.78 : x
  2. Step 2: Convert to fraction form
    290,813.38/401,302.17 = 163,507.78/x
  3. Step 3: Cross multiply
    290,813.38x = 401,302.17 × 163,507.78
  4. Step 4: Simplify right side
    290,813.38x = 65,616,026,925.88
  5. Step 5: Solve for x
    x = 65,616,026,925.88/290,813.38
  6. Step 6: Final answer
    x = 225,629.33

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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.