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Finding the Fourth Proportional to 306,207.71, 459,360.83 and 106,584.83

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Solution

The fourth proportional to 306,207.71, 459,360.83 and 106,584.83 is: 159,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,207.71 : 459,360.83 = 106,584.83 : x
  2. Step 2: Convert to fraction form
    306,207.71/459,360.83 = 106,584.83/x
  3. Step 3: Cross multiply
    306,207.71x = 459,360.83 × 106,584.83
  4. Step 4: Simplify right side
    306,207.71x = 48,960,893,943.87
  5. Step 5: Solve for x
    x = 48,960,893,943.87/306,207.71
  6. Step 6: Final answer
    x = 159,894.39

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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.