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Finding the Fourth Proportional to 346,624.86, 520,365.47 and 164,429.88

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Solution

The fourth proportional to 346,624.86, 520,365.47 and 164,429.88 is: 246,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,624.86 : 520,365.47 = 164,429.88 : x
  2. Step 2: Convert to fraction form
    346,624.86/520,365.47 = 164,429.88/x
  3. Step 3: Cross multiply
    346,624.86x = 520,365.47 × 164,429.88
  4. Step 4: Simplify right side
    346,624.86x = 85,563,629,014.72
  5. Step 5: Solve for x
    x = 85,563,629,014.72/346,624.86
  6. Step 6: Final answer
    x = 246,847.93

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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.