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Finding the Fourth Proportional to 507,483.30, 760,986.56 and 294,311.79

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Solution

The fourth proportional to 507,483.30, 760,986.56 and 294,311.79 is: 441,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,483.30 : 760,986.56 = 294,311.79 : x
  2. Step 2: Convert to fraction form
    507,483.30/760,986.56 = 294,311.79/x
  3. Step 3: Cross multiply
    507,483.30x = 760,986.56 × 294,311.79
  4. Step 4: Simplify right side
    507,483.30x = 223,967,316,639.54
  5. Step 5: Solve for x
    x = 223,967,316,639.54/507,483.30
  6. Step 6: Final answer
    x = 441,329.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.