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Finding the Fourth Proportional to 537,446.54, 806,308.32 and 385,819.40

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Solution

The fourth proportional to 537,446.54, 806,308.32 and 385,819.40 is: 578,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,446.54 : 806,308.32 = 385,819.40 : x
  2. Step 2: Convert to fraction form
    537,446.54/806,308.32 = 385,819.40/x
  3. Step 3: Cross multiply
    537,446.54x = 806,308.32 × 385,819.40
  4. Step 4: Simplify right side
    537,446.54x = 311,089,392,237.41
  5. Step 5: Solve for x
    x = 311,089,392,237.41/537,446.54
  6. Step 6: Final answer
    x = 578,828.53

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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.