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Finding the Fourth Proportional to 314,220.35, 471,404.33 and 103,858.28

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Solution

The fourth proportional to 314,220.35, 471,404.33 and 103,858.28 is: 155,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,220.35 : 471,404.33 = 103,858.28 : x
  2. Step 2: Convert to fraction form
    314,220.35/471,404.33 = 103,858.28/x
  3. Step 3: Cross multiply
    314,220.35x = 471,404.33 × 103,858.28
  4. Step 4: Simplify right side
    314,220.35x = 48,959,243,947.04
  5. Step 5: Solve for x
    x = 48,959,243,947.04/314,220.35
  6. Step 6: Final answer
    x = 155,811.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.