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Finding the Fourth Proportional to 329,533.02, 454,745.16 and 186,284.52

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Solution

The fourth proportional to 329,533.02, 454,745.16 and 186,284.52 is: 257,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,533.02 : 454,745.16 = 186,284.52 : x
  2. Step 2: Convert to fraction form
    329,533.02/454,745.16 = 186,284.52/x
  3. Step 3: Cross multiply
    329,533.02x = 454,745.16 × 186,284.52
  4. Step 4: Simplify right side
    329,533.02x = 84,711,983,852.92
  5. Step 5: Solve for x
    x = 84,711,983,852.92/329,533.02
  6. Step 6: Final answer
    x = 257,066.75

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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.