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Finding the Fourth Proportional to 314,214.96, 471,322.44 and 258,694.32

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Solution

The fourth proportional to 314,214.96, 471,322.44 and 258,694.32 is: 388,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,214.96 : 471,322.44 = 258,694.32 : x
  2. Step 2: Convert to fraction form
    314,214.96/471,322.44 = 258,694.32/x
  3. Step 3: Cross multiply
    314,214.96x = 471,322.44 × 258,694.32
  4. Step 4: Simplify right side
    314,214.96x = 121,928,438,116.54
  5. Step 5: Solve for x
    x = 121,928,438,116.54/314,214.96
  6. Step 6: Final answer
    x = 388,041.48

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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.