Home / 314,022.96-471,986.01-207,769.32

Finding the Fourth Proportional to 314,022.96, 471,986.01 and 207,769.32

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Solution

The fourth proportional to 314,022.96, 471,986.01 and 207,769.32 is: 312,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,022.96 : 471,986.01 = 207,769.32 : x
  2. Step 2: Convert to fraction form
    314,022.96/471,986.01 = 207,769.32/x
  3. Step 3: Cross multiply
    314,022.96x = 471,986.01 × 207,769.32
  4. Step 4: Simplify right side
    314,022.96x = 98,064,212,347.21
  5. Step 5: Solve for x
    x = 98,064,212,347.21/314,022.96
  6. Step 6: Final answer
    x = 312,283.57

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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.