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Finding the Fourth Proportional to 483,904.36, 725,774.64 and 146,864.26

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Solution

The fourth proportional to 483,904.36, 725,774.64 and 146,864.26 is: 220,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,904.36 : 725,774.64 = 146,864.26 : x
  2. Step 2: Convert to fraction form
    483,904.36/725,774.64 = 146,864.26/x
  3. Step 3: Cross multiply
    483,904.36x = 725,774.64 × 146,864.26
  4. Step 4: Simplify right side
    483,904.36x = 106,590,355,430.37
  5. Step 5: Solve for x
    x = 106,590,355,430.37/483,904.36
  6. Step 6: Final answer
    x = 220,271.53

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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.