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Finding the Fourth Proportional to 525,686.85, 725,447.12 and 283,969.35

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Solution

The fourth proportional to 525,686.85, 725,447.12 and 283,969.35 is: 391,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,686.85 : 725,447.12 = 283,969.35 : x
  2. Step 2: Convert to fraction form
    525,686.85/725,447.12 = 283,969.35/x
  3. Step 3: Cross multiply
    525,686.85x = 725,447.12 × 283,969.35
  4. Step 4: Simplify right side
    525,686.85x = 206,004,745,705.93
  5. Step 5: Solve for x
    x = 206,004,745,705.93/525,686.85
  6. Step 6: Final answer
    x = 391,877.30

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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.