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Finding the Fourth Proportional to 461,668.20, 692,502.30 and 433,674.60

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Solution

The fourth proportional to 461,668.20, 692,502.30 and 433,674.60 is: 650,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,668.20 : 692,502.30 = 433,674.60 : x
  2. Step 2: Convert to fraction form
    461,668.20/692,502.30 = 433,674.60/x
  3. Step 3: Cross multiply
    461,668.20x = 692,502.30 × 433,674.60
  4. Step 4: Simplify right side
    461,668.20x = 300,320,657,951.58
  5. Step 5: Solve for x
    x = 300,320,657,951.58/461,668.20
  6. Step 6: Final answer
    x = 650,511.90

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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.