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Finding the Fourth Proportional to 517,218.16, 713,756.36 and 290,858.80

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Solution

The fourth proportional to 517,218.16, 713,756.36 and 290,858.80 is: 401,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,218.16 : 713,756.36 = 290,858.80 : x
  2. Step 2: Convert to fraction form
    517,218.16/713,756.36 = 290,858.80/x
  3. Step 3: Cross multiply
    517,218.16x = 713,756.36 × 290,858.80
  4. Step 4: Simplify right side
    517,218.16x = 207,602,318,361.97
  5. Step 5: Solve for x
    x = 207,602,318,361.97/517,218.16
  6. Step 6: Final answer
    x = 401,382.50

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Why These Related Problems?

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