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Finding the Fourth Proportional to 691,907.40, 1,037,861.10 and 411,971.40

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Solution

The fourth proportional to 691,907.40, 1,037,861.10 and 411,971.40 is: 617,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,907.40 : 1,037,861.10 = 411,971.40 : x
  2. Step 2: Convert to fraction form
    691,907.40/1,037,861.10 = 411,971.40/x
  3. Step 3: Cross multiply
    691,907.40x = 1,037,861.10 × 411,971.40
  4. Step 4: Simplify right side
    691,907.40x = 427,569,090,372.54
  5. Step 5: Solve for x
    x = 427,569,090,372.54/691,907.40
  6. Step 6: Final answer
    x = 617,957.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.