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Finding the Fourth Proportional to 525,225.49, 724,801.64 and 295,781.85

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Solution

The fourth proportional to 525,225.49, 724,801.64 and 295,781.85 is: 408,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,225.49 : 724,801.64 = 295,781.85 : x
  2. Step 2: Convert to fraction form
    525,225.49/724,801.64 = 295,781.85/x
  3. Step 3: Cross multiply
    525,225.49x = 724,801.64 × 295,781.85
  4. Step 4: Simplify right side
    525,225.49x = 214,383,168,483.33
  5. Step 5: Solve for x
    x = 214,383,168,483.33/525,225.49
  6. Step 6: Final answer
    x = 408,173.58

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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.