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Finding the Fourth Proportional to 464,878.44, 697,653.81 and 165,361.50

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Solution

The fourth proportional to 464,878.44, 697,653.81 and 165,361.50 is: 248,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,878.44 : 697,653.81 = 165,361.50 : x
  2. Step 2: Convert to fraction form
    464,878.44/697,653.81 = 165,361.50/x
  3. Step 3: Cross multiply
    464,878.44x = 697,653.81 × 165,361.50
  4. Step 4: Simplify right side
    464,878.44x = 115,365,080,502.32
  5. Step 5: Solve for x
    x = 115,365,080,502.32/464,878.44
  6. Step 6: Final answer
    x = 248,161.82

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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.