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Finding the Fourth Proportional to 540,671.57, 746,094.71 and 298,935.17

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Solution

The fourth proportional to 540,671.57, 746,094.71 and 298,935.17 is: 412,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,671.57 : 746,094.71 = 298,935.17 : x
  2. Step 2: Convert to fraction form
    540,671.57/746,094.71 = 298,935.17/x
  3. Step 3: Cross multiply
    540,671.57x = 746,094.71 × 298,935.17
  4. Step 4: Simplify right side
    540,671.57x = 223,033,947,475.28
  5. Step 5: Solve for x
    x = 223,033,947,475.28/540,671.57
  6. Step 6: Final answer
    x = 412,512.81

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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.