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Finding the Fourth Proportional to 464,242.50, 640,664.37 and 263,038.50

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Solution

The fourth proportional to 464,242.50, 640,664.37 and 263,038.50 is: 362,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,242.50 : 640,664.37 = 263,038.50 : x
  2. Step 2: Convert to fraction form
    464,242.50/640,664.37 = 263,038.50/x
  3. Step 3: Cross multiply
    464,242.50x = 640,664.37 × 263,038.50
  4. Step 4: Simplify right side
    464,242.50x = 168,519,394,888.25
  5. Step 5: Solve for x
    x = 168,519,394,888.25/464,242.50
  6. Step 6: Final answer
    x = 362,998.64

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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.