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Finding the Fourth Proportional to 436,133, 654,199.50 and 116,285.96

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Solution

The fourth proportional to 436,133, 654,199.50 and 116,285.96 is: 174,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,133 : 654,199.50 = 116,285.96 : x
  2. Step 2: Convert to fraction form
    436,133/654,199.50 = 116,285.96/x
  3. Step 3: Cross multiply
    436,133x = 654,199.50 × 116,285.96
  4. Step 4: Simplify right side
    436,133x = 76,074,216,889.02
  5. Step 5: Solve for x
    x = 76,074,216,889.02/436,133
  6. Step 6: Final answer
    x = 174,428.94

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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.