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Finding the Fourth Proportional to 413,505.80, 620,258.70 and 133,051.40

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Solution

The fourth proportional to 413,505.80, 620,258.70 and 133,051.40 is: 199,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,505.80 : 620,258.70 = 133,051.40 : x
  2. Step 2: Convert to fraction form
    413,505.80/620,258.70 = 133,051.40/x
  3. Step 3: Cross multiply
    413,505.80x = 620,258.70 × 133,051.40
  4. Step 4: Simplify right side
    413,505.80x = 82,526,288,397.18
  5. Step 5: Solve for x
    x = 82,526,288,397.18/413,505.80
  6. Step 6: Final answer
    x = 199,577.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.