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Finding the Fourth Proportional to 301,835, 416,533.92 and 167,699

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Solution

The fourth proportional to 301,835, 416,533.92 and 167,699 is: 231,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,835 : 416,533.92 = 167,699 : x
  2. Step 2: Convert to fraction form
    301,835/416,533.92 = 167,699/x
  3. Step 3: Cross multiply
    301,835x = 416,533.92 × 167,699
  4. Step 4: Simplify right side
    301,835x = 69,852,321,850.08
  5. Step 5: Solve for x
    x = 69,852,321,850.08/301,835
  6. Step 6: Final answer
    x = 231,425.52

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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.