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Finding the Fourth Proportional to 492,053.20, 735,383.56 and 359,213.20

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Solution

The fourth proportional to 492,053.20, 735,383.56 and 359,213.20 is: 536,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,053.20 : 735,383.56 = 359,213.20 : x
  2. Step 2: Convert to fraction form
    492,053.20/735,383.56 = 359,213.20/x
  3. Step 3: Cross multiply
    492,053.20x = 735,383.56 × 359,213.20
  4. Step 4: Simplify right side
    492,053.20x = 264,159,481,814.99
  5. Step 5: Solve for x
    x = 264,159,481,814.99/492,053.20
  6. Step 6: Final answer
    x = 536,851.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.