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Finding the Fourth Proportional to 340,700.58, 470,176.52 and 189,807.30

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Solution

The fourth proportional to 340,700.58, 470,176.52 and 189,807.30 is: 261,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,700.58 : 470,176.52 = 189,807.30 : x
  2. Step 2: Convert to fraction form
    340,700.58/470,176.52 = 189,807.30/x
  3. Step 3: Cross multiply
    340,700.58x = 470,176.52 × 189,807.30
  4. Step 4: Simplify right side
    340,700.58x = 89,242,934,835.56
  5. Step 5: Solve for x
    x = 89,242,934,835.56/340,700.58
  6. Step 6: Final answer
    x = 261,939.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.