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Finding the Fourth Proportional to 333,774.52, 501,711.54 and 289,947.04

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Solution

The fourth proportional to 333,774.52, 501,711.54 and 289,947.04 is: 435,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,774.52 : 501,711.54 = 289,947.04 : x
  2. Step 2: Convert to fraction form
    333,774.52/501,711.54 = 289,947.04/x
  3. Step 3: Cross multiply
    333,774.52x = 501,711.54 × 289,947.04
  4. Step 4: Simplify right side
    333,774.52x = 145,469,775,956.84
  5. Step 5: Solve for x
    x = 145,469,775,956.84/333,774.52
  6. Step 6: Final answer
    x = 435,832.48

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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.