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Finding the Fourth Proportional to 329,807.16, 455,144.04 and 186,564.60

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Solution

The fourth proportional to 329,807.16, 455,144.04 and 186,564.60 is: 257,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,807.16 : 455,144.04 = 186,564.60 : x
  2. Step 2: Convert to fraction form
    329,807.16/455,144.04 = 186,564.60/x
  3. Step 3: Cross multiply
    329,807.16x = 455,144.04 × 186,564.60
  4. Step 4: Simplify right side
    329,807.16x = 84,913,765,764.98
  5. Step 5: Solve for x
    x = 84,913,765,764.98/329,807.16
  6. Step 6: Final answer
    x = 257,464.89

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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.