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Finding the Fourth Proportional to 525,101.60, 785,684.10 and 347,954.60

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Solution

The fourth proportional to 525,101.60, 785,684.10 and 347,954.60 is: 520,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,101.60 : 785,684.10 = 347,954.60 : x
  2. Step 2: Convert to fraction form
    525,101.60/785,684.10 = 347,954.60/x
  3. Step 3: Cross multiply
    525,101.60x = 785,684.10 × 347,954.60
  4. Step 4: Simplify right side
    525,101.60x = 273,382,396,741.86
  5. Step 5: Solve for x
    x = 273,382,396,741.86/525,101.60
  6. Step 6: Final answer
    x = 520,627.62

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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.