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Finding the Fourth Proportional to 314,228.60, 471,416.72 and 103,866.53

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Solution

The fourth proportional to 314,228.60, 471,416.72 and 103,866.53 is: 155,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,228.60 : 471,416.72 = 103,866.53 : x
  2. Step 2: Convert to fraction form
    314,228.60/471,416.72 = 103,866.53/x
  3. Step 3: Cross multiply
    314,228.60x = 471,416.72 × 103,866.53
  4. Step 4: Simplify right side
    314,228.60x = 48,964,419,549.59
  5. Step 5: Solve for x
    x = 48,964,419,549.59/314,228.60
  6. Step 6: Final answer
    x = 155,824.20

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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.