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Finding the Fourth Proportional to 276,857.10, 415,026.45 and 216,852.30

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Solution

The fourth proportional to 276,857.10, 415,026.45 and 216,852.30 is: 325,075.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,857.10 : 415,026.45 = 216,852.30 : x
  2. Step 2: Convert to fraction form
    276,857.10/415,026.45 = 216,852.30/x
  3. Step 3: Cross multiply
    276,857.10x = 415,026.45 × 216,852.30
  4. Step 4: Simplify right side
    276,857.10x = 89,999,440,243.34
  5. Step 5: Solve for x
    x = 89,999,440,243.34/276,857.10
  6. Step 6: Final answer
    x = 325,075.43

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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.