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Finding the Fourth Proportional to 321,309.90, 443,381.55 and 178,075.98

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Solution

The fourth proportional to 321,309.90, 443,381.55 and 178,075.98 is: 245,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,309.90 : 443,381.55 = 178,075.98 : x
  2. Step 2: Convert to fraction form
    321,309.90/443,381.55 = 178,075.98/x
  3. Step 3: Cross multiply
    321,309.90x = 443,381.55 × 178,075.98
  4. Step 4: Simplify right side
    321,309.90x = 78,955,604,030.17
  5. Step 5: Solve for x
    x = 78,955,604,030.17/321,309.90
  6. Step 6: Final answer
    x = 245,730.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.