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Finding the Fourth Proportional to 434,751.75, 599,753.30 and 307,497.51

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Solution

The fourth proportional to 434,751.75, 599,753.30 and 307,497.51 is: 424,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,751.75 : 599,753.30 = 307,497.51 : x
  2. Step 2: Convert to fraction form
    434,751.75/599,753.30 = 307,497.51/x
  3. Step 3: Cross multiply
    434,751.75x = 599,753.30 × 307,497.51
  4. Step 4: Simplify right side
    434,751.75x = 184,422,644,826.80
  5. Step 5: Solve for x
    x = 184,422,644,826.80/434,751.75
  6. Step 6: Final answer
    x = 424,202.19

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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.