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Finding the Fourth Proportional to 301,894.20, 450,580.62 and 296,911.47

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Solution

The fourth proportional to 301,894.20, 450,580.62 and 296,911.47 is: 443,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,894.20 : 450,580.62 = 296,911.47 : x
  2. Step 2: Convert to fraction form
    301,894.20/450,580.62 = 296,911.47/x
  3. Step 3: Cross multiply
    301,894.20x = 450,580.62 × 296,911.47
  4. Step 4: Simplify right side
    301,894.20x = 133,782,554,237.71
  5. Step 5: Solve for x
    x = 133,782,554,237.71/301,894.20
  6. Step 6: Final answer
    x = 443,143.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.