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Finding the Fourth Proportional to 306,635.49, 459,957.38 and 96,273.41

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Solution

The fourth proportional to 306,635.49, 459,957.38 and 96,273.41 is: 144,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,635.49 : 459,957.38 = 96,273.41 : x
  2. Step 2: Convert to fraction form
    306,635.49/459,957.38 = 96,273.41/x
  3. Step 3: Cross multiply
    306,635.49x = 459,957.38 × 96,273.41
  4. Step 4: Simplify right side
    306,635.49x = 44,281,662,646.11
  5. Step 5: Solve for x
    x = 44,281,662,646.11/306,635.49
  6. Step 6: Final answer
    x = 144,411.41

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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.