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Finding the Fourth Proportional to 424,075.20, 636,112.80 and 214,123.20

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Solution

The fourth proportional to 424,075.20, 636,112.80 and 214,123.20 is: 321,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,075.20 : 636,112.80 = 214,123.20 : x
  2. Step 2: Convert to fraction form
    424,075.20/636,112.80 = 214,123.20/x
  3. Step 3: Cross multiply
    424,075.20x = 636,112.80 × 214,123.20
  4. Step 4: Simplify right side
    424,075.20x = 136,206,508,296.96
  5. Step 5: Solve for x
    x = 136,206,508,296.96/424,075.20
  6. Step 6: Final answer
    x = 321,184.80

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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.