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Finding the Fourth Proportional to 343,023.66, 514,726.17 and 153,476.37

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Solution

The fourth proportional to 343,023.66, 514,726.17 and 153,476.37 is: 230,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,023.66 : 514,726.17 = 153,476.37 : x
  2. Step 2: Convert to fraction form
    343,023.66/514,726.17 = 153,476.37/x
  3. Step 3: Cross multiply
    343,023.66x = 514,726.17 × 153,476.37
  4. Step 4: Simplify right side
    343,023.66x = 78,998,303,971.72
  5. Step 5: Solve for x
    x = 78,998,303,971.72/343,023.66
  6. Step 6: Final answer
    x = 230,299.87

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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.