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Finding the Fourth Proportional to 299,323.07, 413,064.16 and 163,356.60

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Solution

The fourth proportional to 299,323.07, 413,064.16 and 163,356.60 is: 225,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,323.07 : 413,064.16 = 163,356.60 : x
  2. Step 2: Convert to fraction form
    299,323.07/413,064.16 = 163,356.60/x
  3. Step 3: Cross multiply
    299,323.07x = 413,064.16 × 163,356.60
  4. Step 4: Simplify right side
    299,323.07x = 67,476,755,576.57
  5. Step 5: Solve for x
    x = 67,476,755,576.57/299,323.07
  6. Step 6: Final answer
    x = 225,431.19

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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.