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Finding the Fourth Proportional to 310,466.58, 465,759.27 and 100,048.02

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Solution

The fourth proportional to 310,466.58, 465,759.27 and 100,048.02 is: 150,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,466.58 : 465,759.27 = 100,048.02 : x
  2. Step 2: Convert to fraction form
    310,466.58/465,759.27 = 100,048.02/x
  3. Step 3: Cross multiply
    310,466.58x = 465,759.27 × 100,048.02
  4. Step 4: Simplify right side
    310,466.58x = 46,598,292,760.15
  5. Step 5: Solve for x
    x = 46,598,292,760.15/310,466.58
  6. Step 6: Final answer
    x = 150,091.17

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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.