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Finding the Fourth Proportional to 461,438.70, 692,158.05 and 411,672.30

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Solution

The fourth proportional to 461,438.70, 692,158.05 and 411,672.30 is: 617,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,438.70 : 692,158.05 = 411,672.30 : x
  2. Step 2: Convert to fraction form
    461,438.70/692,158.05 = 411,672.30/x
  3. Step 3: Cross multiply
    461,438.70x = 692,158.05 × 411,672.30
  4. Step 4: Simplify right side
    461,438.70x = 284,942,296,407.02
  5. Step 5: Solve for x
    x = 284,942,296,407.02/461,438.70
  6. Step 6: Final answer
    x = 617,508.45

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Similar ratio
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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.