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Finding the Fourth Proportional to 540,825.45, 746,332.47 and 299,103.63

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Solution

The fourth proportional to 540,825.45, 746,332.47 and 299,103.63 is: 412,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,825.45 : 746,332.47 = 299,103.63 : x
  2. Step 2: Convert to fraction form
    540,825.45/746,332.47 = 299,103.63/x
  3. Step 3: Cross multiply
    540,825.45x = 746,332.47 × 299,103.63
  4. Step 4: Simplify right side
    540,825.45x = 223,230,750,963.87
  5. Step 5: Solve for x
    x = 223,230,750,963.87/540,825.45
  6. Step 6: Final answer
    x = 412,759.33

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