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Finding the Fourth Proportional to 409,568.00, 614,628.76 and 143,330.82

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Solution

The fourth proportional to 409,568.00, 614,628.76 and 143,330.82 is: 215,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,568.00 : 614,628.76 = 143,330.82 : x
  2. Step 2: Convert to fraction form
    409,568.00/614,628.76 = 143,330.82/x
  3. Step 3: Cross multiply
    409,568.00x = 614,628.76 × 143,330.82
  4. Step 4: Simplify right side
    409,568.00x = 88,095,241,771.94
  5. Step 5: Solve for x
    x = 88,095,241,771.94/409,568.00
  6. Step 6: Final answer
    x = 215,093.08

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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.