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Finding the Fourth Proportional to 314,147.08, 471,371.82 and 156,389.32

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Solution

The fourth proportional to 314,147.08, 471,371.82 and 156,389.32 is: 234,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,147.08 : 471,371.82 = 156,389.32 : x
  2. Step 2: Convert to fraction form
    314,147.08/471,371.82 = 156,389.32/x
  3. Step 3: Cross multiply
    314,147.08x = 471,371.82 × 156,389.32
  4. Step 4: Simplify right side
    314,147.08x = 73,717,518,396.96
  5. Step 5: Solve for x
    x = 73,717,518,396.96/314,147.08
  6. Step 6: Final answer
    x = 234,659.25

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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.