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Finding the Fourth Proportional to 340,624.83, 470,062.40 and 197,467.86

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Solution

The fourth proportional to 340,624.83, 470,062.40 and 197,467.86 is: 272,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,624.83 : 470,062.40 = 197,467.86 : x
  2. Step 2: Convert to fraction form
    340,624.83/470,062.40 = 197,467.86/x
  3. Step 3: Cross multiply
    340,624.83x = 470,062.40 × 197,467.86
  4. Step 4: Simplify right side
    340,624.83x = 92,822,215,207.12
  5. Step 5: Solve for x
    x = 92,822,215,207.12/340,624.83
  6. Step 6: Final answer
    x = 272,505.72

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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.