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Finding the Fourth Proportional to 525,698.52, 725,463.45 and 283,981.02

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Solution

The fourth proportional to 525,698.52, 725,463.45 and 283,981.02 is: 391,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,698.52 : 725,463.45 = 283,981.02 : x
  2. Step 2: Convert to fraction form
    525,698.52/725,463.45 = 283,981.02/x
  3. Step 3: Cross multiply
    525,698.52x = 725,463.45 × 283,981.02
  4. Step 4: Simplify right side
    525,698.52x = 206,017,850,503.72
  5. Step 5: Solve for x
    x = 206,017,850,503.72/525,698.52
  6. Step 6: Final answer
    x = 391,893.53

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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.