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Finding the Fourth Proportional to 306,283.72, 459,419.82 and 166,929.16

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Solution

The fourth proportional to 306,283.72, 459,419.82 and 166,929.16 is: 250,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,283.72 : 459,419.82 = 166,929.16 : x
  2. Step 2: Convert to fraction form
    306,283.72/459,419.82 = 166,929.16/x
  3. Step 3: Cross multiply
    306,283.72x = 459,419.82 × 166,929.16
  4. Step 4: Simplify right side
    306,283.72x = 76,690,564,639.95
  5. Step 5: Solve for x
    x = 76,690,564,639.95/306,283.72
  6. Step 6: Final answer
    x = 250,390.60

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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.