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Finding the Fourth Proportional to 508,387.41, 761,651.64 and 238,019.54

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Solution

The fourth proportional to 508,387.41, 761,651.64 and 238,019.54 is: 356,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,387.41 : 761,651.64 = 238,019.54 : x
  2. Step 2: Convert to fraction form
    508,387.41/761,651.64 = 238,019.54/x
  3. Step 3: Cross multiply
    508,387.41x = 761,651.64 × 238,019.54
  4. Step 4: Simplify right side
    508,387.41x = 181,287,969,184.79
  5. Step 5: Solve for x
    x = 181,287,969,184.79/508,387.41
  6. Step 6: Final answer
    x = 356,594.14

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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.