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Finding the Fourth Proportional to 299,744.32, 413,831.64 and 192,503.35

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Solution

The fourth proportional to 299,744.32, 413,831.64 and 192,503.35 is: 265,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,744.32 : 413,831.64 = 192,503.35 : x
  2. Step 2: Convert to fraction form
    299,744.32/413,831.64 = 192,503.35/x
  3. Step 3: Cross multiply
    299,744.32x = 413,831.64 × 192,503.35
  4. Step 4: Simplify right side
    299,744.32x = 79,663,977,035.99
  5. Step 5: Solve for x
    x = 79,663,977,035.99/299,744.32
  6. Step 6: Final answer
    x = 265,773.10

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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.