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Finding the Fourth Proportional to 214,907.70, 322,705.80 and 170,900.40

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Solution

The fourth proportional to 214,907.70, 322,705.80 and 170,900.40 is: 256,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,907.70 : 322,705.80 = 170,900.40 : x
  2. Step 2: Convert to fraction form
    214,907.70/322,705.80 = 170,900.40/x
  3. Step 3: Cross multiply
    214,907.70x = 322,705.80 × 170,900.40
  4. Step 4: Simplify right side
    214,907.70x = 55,150,550,302.32
  5. Step 5: Solve for x
    x = 55,150,550,302.32/214,907.70
  6. Step 6: Final answer
    x = 256,624.36

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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.