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Finding the Fourth Proportional to 652,439.40, 978,659.10 and 605,200.20

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Solution

The fourth proportional to 652,439.40, 978,659.10 and 605,200.20 is: 907,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,439.40 : 978,659.10 = 605,200.20 : x
  2. Step 2: Convert to fraction form
    652,439.40/978,659.10 = 605,200.20/x
  3. Step 3: Cross multiply
    652,439.40x = 978,659.10 × 605,200.20
  4. Step 4: Simplify right side
    652,439.40x = 592,284,683,051.82
  5. Step 5: Solve for x
    x = 592,284,683,051.82/652,439.40
  6. Step 6: Final answer
    x = 907,800.30

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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.