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Finding the Fourth Proportional to 304,126.30, 419,686.82 and 168,156.64

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Solution

The fourth proportional to 304,126.30, 419,686.82 and 168,156.64 is: 232,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,126.30 : 419,686.82 = 168,156.64 : x
  2. Step 2: Convert to fraction form
    304,126.30/419,686.82 = 168,156.64/x
  3. Step 3: Cross multiply
    304,126.30x = 419,686.82 × 168,156.64
  4. Step 4: Simplify right side
    304,126.30x = 70,573,124,662.70
  5. Step 5: Solve for x
    x = 70,573,124,662.70/304,126.30
  6. Step 6: Final answer
    x = 232,052.03

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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.