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Finding the Fourth Proportional to 289,678.80, 434,129.40 and 206,475.60

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Solution

The fourth proportional to 289,678.80, 434,129.40 and 206,475.60 is: 309,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,678.80 : 434,129.40 = 206,475.60 : x
  2. Step 2: Convert to fraction form
    289,678.80/434,129.40 = 206,475.60/x
  3. Step 3: Cross multiply
    289,678.80x = 434,129.40 × 206,475.60
  4. Step 4: Simplify right side
    289,678.80x = 89,637,128,342.64
  5. Step 5: Solve for x
    x = 89,637,128,342.64/289,678.80
  6. Step 6: Final answer
    x = 309,436.27

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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.