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Finding the Fourth Proportional to 524,197.65, 785,268.89 and 271,643.81

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Solution

The fourth proportional to 524,197.65, 785,268.89 and 271,643.81 is: 406,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,197.65 : 785,268.89 = 271,643.81 : x
  2. Step 2: Convert to fraction form
    524,197.65/785,268.89 = 271,643.81/x
  3. Step 3: Cross multiply
    524,197.65x = 785,268.89 × 271,643.81
  4. Step 4: Simplify right side
    524,197.65x = 213,313,427,869.51
  5. Step 5: Solve for x
    x = 213,313,427,869.51/524,197.65
  6. Step 6: Final answer
    x = 406,933.20

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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.