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Finding the Fourth Proportional to 296,075.70, 443,821.95 and 146,339.10

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Solution

The fourth proportional to 296,075.70, 443,821.95 and 146,339.10 is: 219,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,075.70 : 443,821.95 = 146,339.10 : x
  2. Step 2: Convert to fraction form
    296,075.70/443,821.95 = 146,339.10/x
  3. Step 3: Cross multiply
    296,075.70x = 443,821.95 × 146,339.10
  4. Step 4: Simplify right side
    296,075.70x = 64,948,504,723.25
  5. Step 5: Solve for x
    x = 64,948,504,723.25/296,075.70
  6. Step 6: Final answer
    x = 219,364.52

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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.