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Finding the Fourth Proportional to 267,311.40, 401,075.10 and 117,580.20

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Solution

The fourth proportional to 267,311.40, 401,075.10 and 117,580.20 is: 176,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,311.40 : 401,075.10 = 117,580.20 : x
  2. Step 2: Convert to fraction form
    267,311.40/401,075.10 = 117,580.20/x
  3. Step 3: Cross multiply
    267,311.40x = 401,075.10 × 117,580.20
  4. Step 4: Simplify right side
    267,311.40x = 47,158,490,473.02
  5. Step 5: Solve for x
    x = 47,158,490,473.02/267,311.40
  6. Step 6: Final answer
    x = 176,417.81

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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.