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Finding the Fourth Proportional to 434,055.36, 598,982.44 and 240,455.16

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Solution

The fourth proportional to 434,055.36, 598,982.44 and 240,455.16 is: 331,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,055.36 : 598,982.44 = 240,455.16 : x
  2. Step 2: Convert to fraction form
    434,055.36/598,982.44 = 240,455.16/x
  3. Step 3: Cross multiply
    434,055.36x = 598,982.44 × 240,455.16
  4. Step 4: Simplify right side
    434,055.36x = 144,028,418,447.39
  5. Step 5: Solve for x
    x = 144,028,418,447.39/434,055.36
  6. Step 6: Final answer
    x = 331,820.39

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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.