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Finding the Fourth Proportional to 276,075.90, 414,113.85 and 276,075.90

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Solution

The fourth proportional to 276,075.90, 414,113.85 and 276,075.90 is: 414,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,075.90 : 414,113.85 = 276,075.90 : x
  2. Step 2: Convert to fraction form
    276,075.90/414,113.85 = 276,075.90/x
  3. Step 3: Cross multiply
    276,075.90x = 414,113.85 × 276,075.90
  4. Step 4: Simplify right side
    276,075.90x = 114,326,853,841.22
  5. Step 5: Solve for x
    x = 114,326,853,841.22/276,075.90
  6. Step 6: Final answer
    x = 414,113.85

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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.