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Finding the Fourth Proportional to 299,422.32, 413,185.26 and 163,429.32

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Solution

The fourth proportional to 299,422.32, 413,185.26 and 163,429.32 is: 225,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,422.32 : 413,185.26 = 163,429.32 : x
  2. Step 2: Convert to fraction form
    299,422.32/413,185.26 = 163,429.32/x
  3. Step 3: Cross multiply
    299,422.32x = 413,185.26 × 163,429.32
  4. Step 4: Simplify right side
    299,422.32x = 67,526,586,075.82
  5. Step 5: Solve for x
    x = 67,526,586,075.82/299,422.32
  6. Step 6: Final answer
    x = 225,522.89

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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.