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Finding the Fourth Proportional to 501,282.36, 691,806.24 and 286,417.80

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Solution

The fourth proportional to 501,282.36, 691,806.24 and 286,417.80 is: 395,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,282.36 : 691,806.24 = 286,417.80 : x
  2. Step 2: Convert to fraction form
    501,282.36/691,806.24 = 286,417.80/x
  3. Step 3: Cross multiply
    501,282.36x = 691,806.24 × 286,417.80
  4. Step 4: Simplify right side
    501,282.36x = 198,145,621,287.07
  5. Step 5: Solve for x
    x = 198,145,621,287.07/501,282.36
  6. Step 6: Final answer
    x = 395,277.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.