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Finding the Fourth Proportional to 304,193.72, 419,790.12 and 168,220.64

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Solution

The fourth proportional to 304,193.72, 419,790.12 and 168,220.64 is: 232,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,193.72 : 419,790.12 = 168,220.64 : x
  2. Step 2: Convert to fraction form
    304,193.72/419,790.12 = 168,220.64/x
  3. Step 3: Cross multiply
    304,193.72x = 419,790.12 × 168,220.64
  4. Step 4: Simplify right side
    304,193.72x = 70,617,362,652.08
  5. Step 5: Solve for x
    x = 70,617,362,652.08/304,193.72
  6. Step 6: Final answer
    x = 232,146.02

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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.