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Finding the Fourth Proportional to 507,108.42, 761,048.26 and 187,562.61

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Solution

The fourth proportional to 507,108.42, 761,048.26 and 187,562.61 is: 281,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,108.42 : 761,048.26 = 187,562.61 : x
  2. Step 2: Convert to fraction form
    507,108.42/761,048.26 = 187,562.61/x
  3. Step 3: Cross multiply
    507,108.42x = 761,048.26 × 187,562.61
  4. Step 4: Simplify right side
    507,108.42x = 142,744,197,512.65
  5. Step 5: Solve for x
    x = 142,744,197,512.65/507,108.42
  6. Step 6: Final answer
    x = 281,486.55

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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.