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Finding the Fourth Proportional to 652,022.30, 978,325.05 and 314,932.70

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Solution

The fourth proportional to 652,022.30, 978,325.05 and 314,932.70 is: 472,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,022.30 : 978,325.05 = 314,932.70 : x
  2. Step 2: Convert to fraction form
    652,022.30/978,325.05 = 314,932.70/x
  3. Step 3: Cross multiply
    652,022.30x = 978,325.05 × 314,932.70
  4. Step 4: Simplify right side
    652,022.30x = 308,106,549,474.14
  5. Step 5: Solve for x
    x = 308,106,549,474.14/652,022.30
  6. Step 6: Final answer
    x = 472,539.90

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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.