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Finding the Fourth Proportional to 507,301.14, 761,002.06 and 187,536.80

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Solution

The fourth proportional to 507,301.14, 761,002.06 and 187,536.80 is: 281,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,301.14 : 761,002.06 = 187,536.80 : x
  2. Step 2: Convert to fraction form
    507,301.14/761,002.06 = 187,536.80/x
  3. Step 3: Cross multiply
    507,301.14x = 761,002.06 × 187,536.80
  4. Step 4: Simplify right side
    507,301.14x = 142,715,891,125.81
  5. Step 5: Solve for x
    x = 142,715,891,125.81/507,301.14
  6. Step 6: Final answer
    x = 281,323.81

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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.