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Finding the Fourth Proportional to 339,309.06, 508,897.98 and 102,596.28

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Solution

The fourth proportional to 339,309.06, 508,897.98 and 102,596.28 is: 153,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,309.06 : 508,897.98 = 102,596.28 : x
  2. Step 2: Convert to fraction form
    339,309.06/508,897.98 = 102,596.28/x
  3. Step 3: Cross multiply
    339,309.06x = 508,897.98 × 102,596.28
  4. Step 4: Simplify right side
    339,309.06x = 52,211,039,647.51
  5. Step 5: Solve for x
    x = 52,211,039,647.51/339,309.06
  6. Step 6: Final answer
    x = 153,874.58

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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.