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Finding the Fourth Proportional to 295,097.81, 407,223.19 and 174,278.03

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Solution

The fourth proportional to 295,097.81, 407,223.19 and 174,278.03 is: 240,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,097.81 : 407,223.19 = 174,278.03 : x
  2. Step 2: Convert to fraction form
    295,097.81/407,223.19 = 174,278.03/x
  3. Step 3: Cross multiply
    295,097.81x = 407,223.19 × 174,278.03
  4. Step 4: Simplify right side
    295,097.81x = 70,970,055,323.52
  5. Step 5: Solve for x
    x = 70,970,055,323.52/295,097.81
  6. Step 6: Final answer
    x = 240,496.72

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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.