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Finding the Fourth Proportional to 306,968.98, 460,430.99 and 96,667.06

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Solution

The fourth proportional to 306,968.98, 460,430.99 and 96,667.06 is: 144,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,968.98 : 460,430.99 = 96,667.06 : x
  2. Step 2: Convert to fraction form
    306,968.98/460,430.99 = 96,667.06/x
  3. Step 3: Cross multiply
    306,968.98x = 460,430.99 × 96,667.06
  4. Step 4: Simplify right side
    306,968.98x = 44,508,509,727.59
  5. Step 5: Solve for x
    x = 44,508,509,727.59/306,968.98
  6. Step 6: Final answer
    x = 144,993.51

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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.