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Finding the Fourth Proportional to 343,741.46, 474,420.38 and 200,501.60

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Solution

The fourth proportional to 343,741.46, 474,420.38 and 200,501.60 is: 276,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,741.46 : 474,420.38 = 200,501.60 : x
  2. Step 2: Convert to fraction form
    343,741.46/474,420.38 = 200,501.60/x
  3. Step 3: Cross multiply
    343,741.46x = 474,420.38 × 200,501.60
  4. Step 4: Simplify right side
    343,741.46x = 95,122,041,888.00
  5. Step 5: Solve for x
    x = 95,122,041,888.00/343,741.46
  6. Step 6: Final answer
    x = 276,725.55

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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.