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Finding the Fourth Proportional to 314,016.18, 471,975.89 and 207,762.54

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Solution

The fourth proportional to 314,016.18, 471,975.89 and 207,762.54 is: 312,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,016.18 : 471,975.89 = 207,762.54 : x
  2. Step 2: Convert to fraction form
    314,016.18/471,975.89 = 207,762.54/x
  3. Step 3: Cross multiply
    314,016.18x = 471,975.89 × 207,762.54
  4. Step 4: Simplify right side
    314,016.18x = 98,058,909,725.16
  5. Step 5: Solve for x
    x = 98,058,909,725.16/314,016.18
  6. Step 6: Final answer
    x = 312,273.43

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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.