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Finding the Fourth Proportional to 645,969.54, 891,431.46 and 359,484.78

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Solution

The fourth proportional to 645,969.54, 891,431.46 and 359,484.78 is: 496,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,969.54 : 891,431.46 = 359,484.78 : x
  2. Step 2: Convert to fraction form
    645,969.54/891,431.46 = 359,484.78/x
  3. Step 3: Cross multiply
    645,969.54x = 891,431.46 × 359,484.78
  4. Step 4: Simplify right side
    645,969.54x = 320,456,042,283.18
  5. Step 5: Solve for x
    x = 320,456,042,283.18/645,969.54
  6. Step 6: Final answer
    x = 496,085.38

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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.