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Finding the Fourth Proportional to 692,165.10, 1,036,174.05 and 411,537.90

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Solution

The fourth proportional to 692,165.10, 1,036,174.05 and 411,537.90 is: 616,073.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,165.10 : 1,036,174.05 = 411,537.90 : x
  2. Step 2: Convert to fraction form
    692,165.10/1,036,174.05 = 411,537.90/x
  3. Step 3: Cross multiply
    692,165.10x = 1,036,174.05 × 411,537.90
  4. Step 4: Simplify right side
    692,165.10x = 426,424,892,571.50
  5. Step 5: Solve for x
    x = 426,424,892,571.50/692,165.10
  6. Step 6: Final answer
    x = 616,073.96

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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.