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Finding the Fourth Proportional to 338,998.80, 509,000.40 and 189,537.60

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Solution

The fourth proportional to 338,998.80, 509,000.40 and 189,537.60 is: 284,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,998.80 : 509,000.40 = 189,537.60 : x
  2. Step 2: Convert to fraction form
    338,998.80/509,000.40 = 189,537.60/x
  3. Step 3: Cross multiply
    338,998.80x = 509,000.40 × 189,537.60
  4. Step 4: Simplify right side
    338,998.80x = 96,474,714,215.04
  5. Step 5: Solve for x
    x = 96,474,714,215.04/338,998.80
  6. Step 6: Final answer
    x = 284,587.19

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1.5x scale

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.