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Finding the Fourth Proportional to 594,941.44, 820,781.76 and 380,025.76

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Solution

The fourth proportional to 594,941.44, 820,781.76 and 380,025.76 is: 524,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,941.44 : 820,781.76 = 380,025.76 : x
  2. Step 2: Convert to fraction form
    594,941.44/820,781.76 = 380,025.76/x
  3. Step 3: Cross multiply
    594,941.44x = 820,781.76 × 380,025.76
  4. Step 4: Simplify right side
    594,941.44x = 311,918,212,138.14
  5. Step 5: Solve for x
    x = 311,918,212,138.14/594,941.44
  6. Step 6: Final answer
    x = 524,283.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.