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Finding the Fourth Proportional to 314,683.56, 471,923.26 and 104,265

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Solution

The fourth proportional to 314,683.56, 471,923.26 and 104,265 is: 156,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,683.56 : 471,923.26 = 104,265 : x
  2. Step 2: Convert to fraction form
    314,683.56/471,923.26 = 104,265/x
  3. Step 3: Cross multiply
    314,683.56x = 471,923.26 × 104,265
  4. Step 4: Simplify right side
    314,683.56x = 49,205,078,703.90
  5. Step 5: Solve for x
    x = 49,205,078,703.90/314,683.56
  6. Step 6: Final answer
    x = 156,363.68

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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.