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Finding the Fourth Proportional to 299,647.62, 413,515.13 and 163,683.45

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Solution

The fourth proportional to 299,647.62, 413,515.13 and 163,683.45 is: 225,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,647.62 : 413,515.13 = 163,683.45 : x
  2. Step 2: Convert to fraction form
    299,647.62/413,515.13 = 163,683.45/x
  3. Step 3: Cross multiply
    299,647.62x = 413,515.13 × 163,683.45
  4. Step 4: Simplify right side
    299,647.62x = 67,685,583,514.81
  5. Step 5: Solve for x
    x = 67,685,583,514.81/299,647.62
  6. Step 6: Final answer
    x = 225,883.93

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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.