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Finding the Fourth Proportional to 301,587.56, 416,242.02 and 174,336.92

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Solution

The fourth proportional to 301,587.56, 416,242.02 and 174,336.92 is: 240,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,587.56 : 416,242.02 = 174,336.92 : x
  2. Step 2: Convert to fraction form
    301,587.56/416,242.02 = 174,336.92/x
  3. Step 3: Cross multiply
    301,587.56x = 416,242.02 × 174,336.92
  4. Step 4: Simplify right side
    301,587.56x = 72,566,351,741.38
  5. Step 5: Solve for x
    x = 72,566,351,741.38/301,587.56
  6. Step 6: Final answer
    x = 240,614.54

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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.