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Finding the Fourth Proportional to 462,466.64, 638,277 and 281,235.44

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Solution

The fourth proportional to 462,466.64, 638,277 and 281,235.44 is: 388,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,466.64 : 638,277 = 281,235.44 : x
  2. Step 2: Convert to fraction form
    462,466.64/638,277 = 281,235.44/x
  3. Step 3: Cross multiply
    462,466.64x = 638,277 × 281,235.44
  4. Step 4: Simplify right side
    462,466.64x = 179,506,112,936.88
  5. Step 5: Solve for x
    x = 179,506,112,936.88/462,466.64
  6. Step 6: Final answer
    x = 388,149.32

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1.5x scale

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.