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Finding the Fourth Proportional to 261,041.24, 360,410.34 and 200,503.52

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Solution

The fourth proportional to 261,041.24, 360,410.34 and 200,503.52 is: 276,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,041.24 : 360,410.34 = 200,503.52 : x
  2. Step 2: Convert to fraction form
    261,041.24/360,410.34 = 200,503.52/x
  3. Step 3: Cross multiply
    261,041.24x = 360,410.34 × 200,503.52
  4. Step 4: Simplify right side
    261,041.24x = 72,263,541,814.40
  5. Step 5: Solve for x
    x = 72,263,541,814.40/261,041.24
  6. Step 6: Final answer
    x = 276,828.07

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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.