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Finding the Fourth Proportional to 272,800.40, 410,075.40 and 194,457.20

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Solution

The fourth proportional to 272,800.40, 410,075.40 and 194,457.20 is: 292,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,800.40 : 410,075.40 = 194,457.20 : x
  2. Step 2: Convert to fraction form
    272,800.40/410,075.40 = 194,457.20/x
  3. Step 3: Cross multiply
    272,800.40x = 410,075.40 × 194,457.20
  4. Step 4: Simplify right side
    272,800.40x = 79,742,114,072.88
  5. Step 5: Solve for x
    x = 79,742,114,072.88/272,800.40
  6. Step 6: Final answer
    x = 292,309.37

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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.