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Finding the Fourth Proportional to 314,225.68, 471,412.32 and 103,863.60

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Solution

The fourth proportional to 314,225.68, 471,412.32 and 103,863.60 is: 155,819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,225.68 : 471,412.32 = 103,863.60 : x
  2. Step 2: Convert to fraction form
    314,225.68/471,412.32 = 103,863.60/x
  3. Step 3: Cross multiply
    314,225.68x = 471,412.32 × 103,863.60
  4. Step 4: Simplify right side
    314,225.68x = 48,962,580,639.55
  5. Step 5: Solve for x
    x = 48,962,580,639.55/314,225.68
  6. Step 6: Final answer
    x = 155,819.79

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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.