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Finding the Fourth Proportional to 494,411.60, 741,617.40 and 342,196.40

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Solution

The fourth proportional to 494,411.60, 741,617.40 and 342,196.40 is: 513,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,411.60 : 741,617.40 = 342,196.40 : x
  2. Step 2: Convert to fraction form
    494,411.60/741,617.40 = 342,196.40/x
  3. Step 3: Cross multiply
    494,411.60x = 741,617.40 × 342,196.40
  4. Step 4: Simplify right side
    494,411.60x = 253,778,804,457.36
  5. Step 5: Solve for x
    x = 253,778,804,457.36/494,411.60
  6. Step 6: Final answer
    x = 513,294.60

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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.