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Finding the Fourth Proportional to 531,902.44, 734,021.82 and 302,459.74

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Solution

The fourth proportional to 531,902.44, 734,021.82 and 302,459.74 is: 417,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,902.44 : 734,021.82 = 302,459.74 : x
  2. Step 2: Convert to fraction form
    531,902.44/734,021.82 = 302,459.74/x
  3. Step 3: Cross multiply
    531,902.44x = 734,021.82 × 302,459.74
  4. Step 4: Simplify right side
    531,902.44x = 222,012,048,831.53
  5. Step 5: Solve for x
    x = 222,012,048,831.53/531,902.44
  6. Step 6: Final answer
    x = 417,392.42

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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.