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Finding the Fourth Proportional to 546,802.24, 754,645.44 and 305,168.80

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Solution

The fourth proportional to 546,802.24, 754,645.44 and 305,168.80 is: 421,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,802.24 : 754,645.44 = 305,168.80 : x
  2. Step 2: Convert to fraction form
    546,802.24/754,645.44 = 305,168.80/x
  3. Step 3: Cross multiply
    546,802.24x = 754,645.44 × 305,168.80
  4. Step 4: Simplify right side
    546,802.24x = 230,294,243,350.27
  5. Step 5: Solve for x
    x = 230,294,243,350.27/546,802.24
  6. Step 6: Final answer
    x = 421,165.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.