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Finding the Fourth Proportional to 333,380.48, 500,222.54 and 141,307.56

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Solution

The fourth proportional to 333,380.48, 500,222.54 and 141,307.56 is: 212,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,380.48 : 500,222.54 = 141,307.56 : x
  2. Step 2: Convert to fraction form
    333,380.48/500,222.54 = 141,307.56/x
  3. Step 3: Cross multiply
    333,380.48x = 500,222.54 × 141,307.56
  4. Step 4: Simplify right side
    333,380.48x = 70,685,226,584.40
  5. Step 5: Solve for x
    x = 70,685,226,584.40/333,380.48
  6. Step 6: Final answer
    x = 212,025.69

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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.