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Finding the Fourth Proportional to 464,080.80, 695,314.80 and 214,250.40

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Solution

The fourth proportional to 464,080.80, 695,314.80 and 214,250.40 is: 321,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,080.80 : 695,314.80 = 214,250.40 : x
  2. Step 2: Convert to fraction form
    464,080.80/695,314.80 = 214,250.40/x
  3. Step 3: Cross multiply
    464,080.80x = 695,314.80 × 214,250.40
  4. Step 4: Simplify right side
    464,080.80x = 148,971,474,025.92
  5. Step 5: Solve for x
    x = 148,971,474,025.92/464,080.80
  6. Step 6: Final answer
    x = 321,003.31

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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.