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Finding the Fourth Proportional to 384,233.40, 575,615.70 and 206,681.40

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Solution

The fourth proportional to 384,233.40, 575,615.70 and 206,681.40 is: 309,627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,233.40 : 575,615.70 = 206,681.40 : x
  2. Step 2: Convert to fraction form
    384,233.40/575,615.70 = 206,681.40/x
  3. Step 3: Cross multiply
    384,233.40x = 575,615.70 × 206,681.40
  4. Step 4: Simplify right side
    384,233.40x = 118,969,058,737.98
  5. Step 5: Solve for x
    x = 118,969,058,737.98/384,233.40
  6. Step 6: Final answer
    x = 309,627.06

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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.