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Finding the Fourth Proportional to 299,792.58, 413,523.50 and 228,015.24

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Solution

The fourth proportional to 299,792.58, 413,523.50 and 228,015.24 is: 314,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,792.58 : 413,523.50 = 228,015.24 : x
  2. Step 2: Convert to fraction form
    299,792.58/413,523.50 = 228,015.24/x
  3. Step 3: Cross multiply
    299,792.58x = 413,523.50 × 228,015.24
  4. Step 4: Simplify right side
    299,792.58x = 94,289,660,098.14
  5. Step 5: Solve for x
    x = 94,289,660,098.14/299,792.58
  6. Step 6: Final answer
    x = 314,516.32

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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.