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Finding the Fourth Proportional to 333,908.52, 500,675.46 and 144,250.46

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Solution

The fourth proportional to 333,908.52, 500,675.46 and 144,250.46 is: 216,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,908.52 : 500,675.46 = 144,250.46 : x
  2. Step 2: Convert to fraction form
    333,908.52/500,675.46 = 144,250.46/x
  3. Step 3: Cross multiply
    333,908.52x = 500,675.46 × 144,250.46
  4. Step 4: Simplify right side
    333,908.52x = 72,222,665,415.71
  5. Step 5: Solve for x
    x = 72,222,665,415.71/333,908.52
  6. Step 6: Final answer
    x = 216,294.77

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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.