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Finding the Fourth Proportional to 652,246.40, 978,369.60 and 494,782.40

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Solution

The fourth proportional to 652,246.40, 978,369.60 and 494,782.40 is: 742,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,246.40 : 978,369.60 = 494,782.40 : x
  2. Step 2: Convert to fraction form
    652,246.40/978,369.60 = 494,782.40/x
  3. Step 3: Cross multiply
    652,246.40x = 978,369.60 × 494,782.40
  4. Step 4: Simplify right side
    652,246.40x = 484,080,058,775.04
  5. Step 5: Solve for x
    x = 484,080,058,775.04/652,246.40
  6. Step 6: Final answer
    x = 742,173.60

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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.