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Finding the Fourth Proportional to 357,928.89, 537,282.34 and 144,843.46

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Solution

The fourth proportional to 357,928.89, 537,282.34 and 144,843.46 is: 217,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,928.89 : 537,282.34 = 144,843.46 : x
  2. Step 2: Convert to fraction form
    357,928.89/537,282.34 = 144,843.46/x
  3. Step 3: Cross multiply
    357,928.89x = 537,282.34 × 144,843.46
  4. Step 4: Simplify right side
    357,928.89x = 77,821,833,122.50
  5. Step 5: Solve for x
    x = 77,821,833,122.50/357,928.89
  6. Step 6: Final answer
    x = 217,422.61

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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.