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Finding the Fourth Proportional to 631,203.40, 946,344.30 and 257,033.80

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Solution

The fourth proportional to 631,203.40, 946,344.30 and 257,033.80 is: 385,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,203.40 : 946,344.30 = 257,033.80 : x
  2. Step 2: Convert to fraction form
    631,203.40/946,344.30 = 257,033.80/x
  3. Step 3: Cross multiply
    631,203.40x = 946,344.30 × 257,033.80
  4. Step 4: Simplify right side
    631,203.40x = 243,242,471,537.34
  5. Step 5: Solve for x
    x = 243,242,471,537.34/631,203.40
  6. Step 6: Final answer
    x = 385,363.06

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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.