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Finding the Fourth Proportional to 456,955.83, 685,496.93 and 190,654.56

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Solution

The fourth proportional to 456,955.83, 685,496.93 and 190,654.56 is: 286,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,955.83 : 685,496.93 = 190,654.56 : x
  2. Step 2: Convert to fraction form
    456,955.83/685,496.93 = 190,654.56/x
  3. Step 3: Cross multiply
    456,955.83x = 685,496.93 × 190,654.56
  4. Step 4: Simplify right side
    456,955.83x = 130,693,114,617.23
  5. Step 5: Solve for x
    x = 130,693,114,617.23/456,955.83
  6. Step 6: Final answer
    x = 286,008.20

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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.