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Finding the Fourth Proportional to 314,038.56, 470,464.46 and 185,571.64

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Solution

The fourth proportional to 314,038.56, 470,464.46 and 185,571.64 is: 278,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,038.56 : 470,464.46 = 185,571.64 : x
  2. Step 2: Convert to fraction form
    314,038.56/470,464.46 = 185,571.64/x
  3. Step 3: Cross multiply
    314,038.56x = 470,464.46 × 185,571.64
  4. Step 4: Simplify right side
    314,038.56x = 87,304,861,403.91
  5. Step 5: Solve for x
    x = 87,304,861,403.91/314,038.56
  6. Step 6: Final answer
    x = 278,006.82

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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.