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Finding the Fourth Proportional to 533,048.14, 735,369.94 and 318,063.31

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Solution

The fourth proportional to 533,048.14, 735,369.94 and 318,063.31 is: 438,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,048.14 : 735,369.94 = 318,063.31 : x
  2. Step 2: Convert to fraction form
    533,048.14/735,369.94 = 318,063.31/x
  3. Step 3: Cross multiply
    533,048.14x = 735,369.94 × 318,063.31
  4. Step 4: Simplify right side
    533,048.14x = 233,894,195,750.06
  5. Step 5: Solve for x
    x = 233,894,195,750.06/533,048.14
  6. Step 6: Final answer
    x = 438,786.25

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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.