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Finding the Fourth Proportional to 314,007.36, 471,027.30 and 103,661.64

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Solution

The fourth proportional to 314,007.36, 471,027.30 and 103,661.64 is: 155,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,007.36 : 471,027.30 = 103,661.64 : x
  2. Step 2: Convert to fraction form
    314,007.36/471,027.30 = 103,661.64/x
  3. Step 3: Cross multiply
    314,007.36x = 471,027.30 × 103,661.64
  4. Step 4: Simplify right side
    314,007.36x = 48,827,462,402.77
  5. Step 5: Solve for x
    x = 48,827,462,402.77/314,007.36
  6. Step 6: Final answer
    x = 155,497.83

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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.