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Finding the Fourth Proportional to 464,881.44, 697,658.31 and 165,364.50

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Solution

The fourth proportional to 464,881.44, 697,658.31 and 165,364.50 is: 248,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,881.44 : 697,658.31 = 165,364.50 : x
  2. Step 2: Convert to fraction form
    464,881.44/697,658.31 = 165,364.50/x
  3. Step 3: Cross multiply
    464,881.44x = 697,658.31 × 165,364.50
  4. Step 4: Simplify right side
    464,881.44x = 115,367,917,604.00
  5. Step 5: Solve for x
    x = 115,367,917,604.00/464,881.44
  6. Step 6: Final answer
    x = 248,166.32

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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.