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Finding the Fourth Proportional to 295,259.40, 407,248.03 and 197,093.14

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Solution

The fourth proportional to 295,259.40, 407,248.03 and 197,093.14 is: 271,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,259.40 : 407,248.03 = 197,093.14 : x
  2. Step 2: Convert to fraction form
    295,259.40/407,248.03 = 197,093.14/x
  3. Step 3: Cross multiply
    295,259.40x = 407,248.03 × 197,093.14
  4. Step 4: Simplify right side
    295,259.40x = 80,265,792,991.51
  5. Step 5: Solve for x
    x = 80,265,792,991.51/295,259.40
  6. Step 6: Final answer
    x = 271,848.39

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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.