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Finding the Fourth Proportional to 290,767.80, 436,100.94 and 77,538.36

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Solution

The fourth proportional to 290,767.80, 436,100.94 and 77,538.36 is: 116,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,767.80 : 436,100.94 = 77,538.36 : x
  2. Step 2: Convert to fraction form
    290,767.80/436,100.94 = 77,538.36/x
  3. Step 3: Cross multiply
    290,767.80x = 436,100.94 × 77,538.36
  4. Step 4: Simplify right side
    290,767.80x = 33,814,551,682.06
  5. Step 5: Solve for x
    x = 33,814,551,682.06/290,767.80
  6. Step 6: Final answer
    x = 116,294.00

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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.