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Finding the Fourth Proportional to 546,756.93, 754,558.07 and 305,039.97

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Solution

The fourth proportional to 546,756.93, 754,558.07 and 305,039.97 is: 420,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,756.93 : 754,558.07 = 305,039.97 : x
  2. Step 2: Convert to fraction form
    546,756.93/754,558.07 = 305,039.97/x
  3. Step 3: Cross multiply
    546,756.93x = 754,558.07 × 305,039.97
  4. Step 4: Simplify right side
    546,756.93x = 230,170,369,510.86
  5. Step 5: Solve for x
    x = 230,170,369,510.86/546,756.93
  6. Step 6: Final answer
    x = 420,973.85

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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.