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Finding the Fourth Proportional to 295,164.41, 407,314.82 and 174,344.81

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Solution

The fourth proportional to 295,164.41, 407,314.82 and 174,344.81 is: 240,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,164.41 : 407,314.82 = 174,344.81 : x
  2. Step 2: Convert to fraction form
    295,164.41/407,314.82 = 174,344.81/x
  3. Step 3: Cross multiply
    295,164.41x = 407,314.82 × 174,344.81
  4. Step 4: Simplify right side
    295,164.41x = 71,013,224,031.36
  5. Step 5: Solve for x
    x = 71,013,224,031.36/295,164.41
  6. Step 6: Final answer
    x = 240,588.71

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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.