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Finding the Fourth Proportional to 507,477.86, 760,978.40 and 294,306.36

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Solution

The fourth proportional to 507,477.86, 760,978.40 and 294,306.36 is: 441,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,477.86 : 760,978.40 = 294,306.36 : x
  2. Step 2: Convert to fraction form
    507,477.86/760,978.40 = 294,306.36/x
  3. Step 3: Cross multiply
    507,477.86x = 760,978.40 × 294,306.36
  4. Step 4: Simplify right side
    507,477.86x = 223,960,782,942.62
  5. Step 5: Solve for x
    x = 223,960,782,942.62/507,477.86
  6. Step 6: Final answer
    x = 441,321.29

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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.