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Finding the Fourth Proportional to 492,065.70, 738,098.55 and 450,075.30

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Solution

The fourth proportional to 492,065.70, 738,098.55 and 450,075.30 is: 675,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,065.70 : 738,098.55 = 450,075.30 : x
  2. Step 2: Convert to fraction form
    492,065.70/738,098.55 = 450,075.30/x
  3. Step 3: Cross multiply
    492,065.70x = 738,098.55 × 450,075.30
  4. Step 4: Simplify right side
    492,065.70x = 332,199,926,320.82
  5. Step 5: Solve for x
    x = 332,199,926,320.82/492,065.70
  6. Step 6: Final answer
    x = 675,112.95

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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.