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Finding the Fourth Proportional to 338,716.54, 508,075.04 and 86,015.98

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Solution

The fourth proportional to 338,716.54, 508,075.04 and 86,015.98 is: 129,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,716.54 : 508,075.04 = 86,015.98 : x
  2. Step 2: Convert to fraction form
    338,716.54/508,075.04 = 86,015.98/x
  3. Step 3: Cross multiply
    338,716.54x = 508,075.04 × 86,015.98
  4. Step 4: Simplify right side
    338,716.54x = 43,702,569,508.68
  5. Step 5: Solve for x
    x = 43,702,569,508.68/338,716.54
  6. Step 6: Final answer
    x = 129,024.02

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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.