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Finding the Fourth Proportional to 494,661.81, 743,238.28 and 314,829.93

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Solution

The fourth proportional to 494,661.81, 743,238.28 and 314,829.93 is: 473,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,661.81 : 743,238.28 = 314,829.93 : x
  2. Step 2: Convert to fraction form
    494,661.81/743,238.28 = 314,829.93/x
  3. Step 3: Cross multiply
    494,661.81x = 743,238.28 × 314,829.93
  4. Step 4: Simplify right side
    494,661.81x = 233,993,653,620.51
  5. Step 5: Solve for x
    x = 233,993,653,620.51/494,661.81
  6. Step 6: Final answer
    x = 473,037.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.