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Finding the Fourth Proportional to 301,523.64, 416,071.80 and 174,240.24

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Solution

The fourth proportional to 301,523.64, 416,071.80 and 174,240.24 is: 240,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,523.64 : 416,071.80 = 174,240.24 : x
  2. Step 2: Convert to fraction form
    301,523.64/416,071.80 = 174,240.24/x
  3. Step 3: Cross multiply
    301,523.64x = 416,071.80 × 174,240.24
  4. Step 4: Simplify right side
    301,523.64x = 72,496,450,289.23
  5. Step 5: Solve for x
    x = 72,496,450,289.23/301,523.64
  6. Step 6: Final answer
    x = 240,433.72

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1.5x scale

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.