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Finding the Fourth Proportional to 301,500.16, 416,021.76 and 174,192.64

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Solution

The fourth proportional to 301,500.16, 416,021.76 and 174,192.64 is: 240,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,500.16 : 416,021.76 = 174,192.64 : x
  2. Step 2: Convert to fraction form
    301,500.16/416,021.76 = 174,192.64/x
  3. Step 3: Cross multiply
    301,500.16x = 416,021.76 × 174,192.64
  4. Step 4: Simplify right side
    301,500.16x = 72,467,928,671.85
  5. Step 5: Solve for x
    x = 72,467,928,671.85/301,500.16
  6. Step 6: Final answer
    x = 240,357.84

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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.