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Finding the Fourth Proportional to 511,460.69, 705,802.17 and 282,014.07

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Solution

The fourth proportional to 511,460.69, 705,802.17 and 282,014.07 is: 389,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,460.69 : 705,802.17 = 282,014.07 : x
  2. Step 2: Convert to fraction form
    511,460.69/705,802.17 = 282,014.07/x
  3. Step 3: Cross multiply
    511,460.69x = 705,802.17 × 282,014.07
  4. Step 4: Simplify right side
    511,460.69x = 199,046,142,576.53
  5. Step 5: Solve for x
    x = 199,046,142,576.53/511,460.69
  6. Step 6: Final answer
    x = 389,171.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.