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Finding the Fourth Proportional to 343,150.48, 473,135.88 and 295,321.60

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Solution

The fourth proportional to 343,150.48, 473,135.88 and 295,321.60 is: 407,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,150.48 : 473,135.88 = 295,321.60 : x
  2. Step 2: Convert to fraction form
    343,150.48/473,135.88 = 295,321.60/x
  3. Step 3: Cross multiply
    343,150.48x = 473,135.88 × 295,321.60
  4. Step 4: Simplify right side
    343,150.48x = 139,727,245,099.01
  5. Step 5: Solve for x
    x = 139,727,245,099.01/343,150.48
  6. Step 6: Final answer
    x = 407,189.42

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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.