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Finding the Fourth Proportional to 314,037.56, 470,462.96 and 185,570.64

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Solution

The fourth proportional to 314,037.56, 470,462.96 and 185,570.64 is: 278,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,037.56 : 470,462.96 = 185,570.64 : x
  2. Step 2: Convert to fraction form
    314,037.56/470,462.96 = 185,570.64/x
  3. Step 3: Cross multiply
    314,037.56x = 470,462.96 × 185,570.64
  4. Step 4: Simplify right side
    314,037.56x = 87,304,112,583.49
  5. Step 5: Solve for x
    x = 87,304,112,583.49/314,037.56
  6. Step 6: Final answer
    x = 278,005.32

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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.