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Finding the Fourth Proportional to 301,029.14, 415,420.78 and 166,893.14

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Solution

The fourth proportional to 301,029.14, 415,420.78 and 166,893.14 is: 230,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,029.14 : 415,420.78 = 166,893.14 : x
  2. Step 2: Convert to fraction form
    301,029.14/415,420.78 = 166,893.14/x
  3. Step 3: Cross multiply
    301,029.14x = 415,420.78 × 166,893.14
  4. Step 4: Simplify right side
    301,029.14x = 69,330,878,395.45
  5. Step 5: Solve for x
    x = 69,330,878,395.45/301,029.14
  6. Step 6: Final answer
    x = 230,312.85

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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.