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Finding the Fourth Proportional to 457,340.22, 685,900.04 and 190,956.33

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Solution

The fourth proportional to 457,340.22, 685,900.04 and 190,956.33 is: 286,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,340.22 : 685,900.04 = 190,956.33 : x
  2. Step 2: Convert to fraction form
    457,340.22/685,900.04 = 190,956.33/x
  3. Step 3: Cross multiply
    457,340.22x = 685,900.04 × 190,956.33
  4. Step 4: Simplify right side
    457,340.22x = 130,976,953,430.47
  5. Step 5: Solve for x
    x = 130,976,953,430.47/457,340.22
  6. Step 6: Final answer
    x = 286,388.44

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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.