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Finding the Fourth Proportional to 431,271.80, 646,907.70 and 195,075.80

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Solution

The fourth proportional to 431,271.80, 646,907.70 and 195,075.80 is: 292,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,271.80 : 646,907.70 = 195,075.80 : x
  2. Step 2: Convert to fraction form
    431,271.80/646,907.70 = 195,075.80/x
  3. Step 3: Cross multiply
    431,271.80x = 646,907.70 × 195,075.80
  4. Step 4: Simplify right side
    431,271.80x = 126,196,037,103.66
  5. Step 5: Solve for x
    x = 126,196,037,103.66/431,271.80
  6. Step 6: Final answer
    x = 292,613.70

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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.