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Finding the Fourth Proportional to 516,952.64, 713,394.60 and 290,598.14

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Solution

The fourth proportional to 516,952.64, 713,394.60 and 290,598.14 is: 401,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,952.64 : 713,394.60 = 290,598.14 : x
  2. Step 2: Convert to fraction form
    516,952.64/713,394.60 = 290,598.14/x
  3. Step 3: Cross multiply
    516,952.64x = 713,394.60 × 290,598.14
  4. Step 4: Simplify right side
    516,952.64x = 207,311,143,846.04
  5. Step 5: Solve for x
    x = 207,311,143,846.04/516,952.64
  6. Step 6: Final answer
    x = 401,025.41

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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.