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Finding the Fourth Proportional to 289,409.80, 434,114.70 and 171,214.60

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Solution

The fourth proportional to 289,409.80, 434,114.70 and 171,214.60 is: 256,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,409.80 : 434,114.70 = 171,214.60 : x
  2. Step 2: Convert to fraction form
    289,409.80/434,114.70 = 171,214.60/x
  3. Step 3: Cross multiply
    289,409.80x = 434,114.70 × 171,214.60
  4. Step 4: Simplify right side
    289,409.80x = 74,326,774,714.62
  5. Step 5: Solve for x
    x = 74,326,774,714.62/289,409.80
  6. Step 6: Final answer
    x = 256,821.90

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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.