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Finding the Fourth Proportional to 540,718.44, 746,180.90 and 299,009.64

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Solution

The fourth proportional to 540,718.44, 746,180.90 and 299,009.64 is: 412,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,718.44 : 746,180.90 = 299,009.64 : x
  2. Step 2: Convert to fraction form
    540,718.44/746,180.90 = 299,009.64/x
  3. Step 3: Cross multiply
    540,718.44x = 746,180.90 × 299,009.64
  4. Step 4: Simplify right side
    540,718.44x = 223,115,282,283.88
  5. Step 5: Solve for x
    x = 223,115,282,283.88/540,718.44
  6. Step 6: Final answer
    x = 412,627.47

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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.