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Finding the Fourth Proportional to 698,462.40, 1,046,138.40 and 605,150.40

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Solution

The fourth proportional to 698,462.40, 1,046,138.40 and 605,150.40 is: 906,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,462.40 : 1,046,138.40 = 605,150.40 : x
  2. Step 2: Convert to fraction form
    698,462.40/1,046,138.40 = 605,150.40/x
  3. Step 3: Cross multiply
    698,462.40x = 1,046,138.40 × 605,150.40
  4. Step 4: Simplify right side
    698,462.40x = 633,071,071,215.36
  5. Step 5: Solve for x
    x = 633,071,071,215.36/698,462.40
  6. Step 6: Final answer
    x = 906,378.17

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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.