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Finding the Fourth Proportional to 426,716.97, 640,075.24 and 127,189.90

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Solution

The fourth proportional to 426,716.97, 640,075.24 and 127,189.90 is: 190,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,716.97 : 640,075.24 = 127,189.90 : x
  2. Step 2: Convert to fraction form
    426,716.97/640,075.24 = 127,189.90/x
  3. Step 3: Cross multiply
    426,716.97x = 640,075.24 × 127,189.90
  4. Step 4: Simplify right side
    426,716.97x = 81,411,105,768.08
  5. Step 5: Solve for x
    x = 81,411,105,768.08/426,716.97
  6. Step 6: Final answer
    x = 190,784.79

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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.