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Finding the Fourth Proportional to 329,595.96, 454,675.50 and 208,533.36

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Solution

The fourth proportional to 329,595.96, 454,675.50 and 208,533.36 is: 287,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,595.96 : 454,675.50 = 208,533.36 : x
  2. Step 2: Convert to fraction form
    329,595.96/454,675.50 = 208,533.36/x
  3. Step 3: Cross multiply
    329,595.96x = 454,675.50 × 208,533.36
  4. Step 4: Simplify right side
    329,595.96x = 94,815,009,724.68
  5. Step 5: Solve for x
    x = 94,815,009,724.68/329,595.96
  6. Step 6: Final answer
    x = 287,670.42

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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.