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Finding the Fourth Proportional to 314,006.36, 471,025.80 and 103,660.64

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Solution

The fourth proportional to 314,006.36, 471,025.80 and 103,660.64 is: 155,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,006.36 : 471,025.80 = 103,660.64 : x
  2. Step 2: Convert to fraction form
    314,006.36/471,025.80 = 103,660.64/x
  3. Step 3: Cross multiply
    314,006.36x = 471,025.80 × 103,660.64
  4. Step 4: Simplify right side
    314,006.36x = 48,826,835,884.51
  5. Step 5: Solve for x
    x = 48,826,835,884.51/314,006.36
  6. Step 6: Final answer
    x = 155,496.33

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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.