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Finding the Fourth Proportional to 413,814.86, 620,709.96 and 114,313.40

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Solution

The fourth proportional to 413,814.86, 620,709.96 and 114,313.40 is: 171,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,814.86 : 620,709.96 = 114,313.40 : x
  2. Step 2: Convert to fraction form
    413,814.86/620,709.96 = 114,313.40/x
  3. Step 3: Cross multiply
    413,814.86x = 620,709.96 × 114,313.40
  4. Step 4: Simplify right side
    413,814.86x = 70,955,465,941.46
  5. Step 5: Solve for x
    x = 70,955,465,941.46/413,814.86
  6. Step 6: Final answer
    x = 171,466.69

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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.