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Finding the Fourth Proportional to 463,284.44, 639,002.40 and 282,007.94

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Solution

The fourth proportional to 463,284.44, 639,002.40 and 282,007.94 is: 388,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,284.44 : 639,002.40 = 282,007.94 : x
  2. Step 2: Convert to fraction form
    463,284.44/639,002.40 = 282,007.94/x
  3. Step 3: Cross multiply
    463,284.44x = 639,002.40 × 282,007.94
  4. Step 4: Simplify right side
    463,284.44x = 180,203,750,479.06
  5. Step 5: Solve for x
    x = 180,203,750,479.06/463,284.44
  6. Step 6: Final answer
    x = 388,970.00

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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.