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Finding the Fourth Proportional to 294,993.63, 407,090.34 and 167,693.76

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Solution

The fourth proportional to 294,993.63, 407,090.34 and 167,693.76 is: 231,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,993.63 : 407,090.34 = 167,693.76 : x
  2. Step 2: Convert to fraction form
    294,993.63/407,090.34 = 167,693.76/x
  3. Step 3: Cross multiply
    294,993.63x = 407,090.34 × 167,693.76
  4. Step 4: Simplify right side
    294,993.63x = 68,266,509,774.28
  5. Step 5: Solve for x
    x = 68,266,509,774.28/294,993.63
  6. Step 6: Final answer
    x = 231,416.89

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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.