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Finding the Fourth Proportional to 339,653.16, 509,477.94 and 86,933.16

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Solution

The fourth proportional to 339,653.16, 509,477.94 and 86,933.16 is: 130,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,653.16 : 509,477.94 = 86,933.16 : x
  2. Step 2: Convert to fraction form
    339,653.16/509,477.94 = 86,933.16/x
  3. Step 3: Cross multiply
    339,653.16x = 509,477.94 × 86,933.16
  4. Step 4: Simplify right side
    339,653.16x = 44,290,527,274.49
  5. Step 5: Solve for x
    x = 44,290,527,274.49/339,653.16
  6. Step 6: Final answer
    x = 130,399.28

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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.