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Finding the Fourth Proportional to 295,096.81, 407,221.81 and 174,277.03

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Solution

The fourth proportional to 295,096.81, 407,221.81 and 174,277.03 is: 240,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,096.81 : 407,221.81 = 174,277.03 : x
  2. Step 2: Convert to fraction form
    295,096.81/407,221.81 = 174,277.03/x
  3. Step 3: Cross multiply
    295,096.81x = 407,221.81 × 174,277.03
  4. Step 4: Simplify right side
    295,096.81x = 70,969,407,598.02
  5. Step 5: Solve for x
    x = 70,969,407,598.02/295,096.81
  6. Step 6: Final answer
    x = 240,495.34

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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.