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Finding the Fourth Proportional to 507,291.63, 760,987.80 and 187,527.30

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Solution

The fourth proportional to 507,291.63, 760,987.80 and 187,527.30 is: 281,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,291.63 : 760,987.80 = 187,527.30 : x
  2. Step 2: Convert to fraction form
    507,291.63/760,987.80 = 187,527.30/x
  3. Step 3: Cross multiply
    507,291.63x = 760,987.80 × 187,527.30
  4. Step 4: Simplify right side
    507,291.63x = 142,705,987,466.94
  5. Step 5: Solve for x
    x = 142,705,987,466.94/507,291.63
  6. Step 6: Final answer
    x = 281,309.56

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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.