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Finding the Fourth Proportional to 463,277.40, 694,916.10 and 163,755.60

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Solution

The fourth proportional to 463,277.40, 694,916.10 and 163,755.60 is: 245,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,277.40 : 694,916.10 = 163,755.60 : x
  2. Step 2: Convert to fraction form
    463,277.40/694,916.10 = 163,755.60/x
  3. Step 3: Cross multiply
    463,277.40x = 694,916.10 × 163,755.60
  4. Step 4: Simplify right side
    463,277.40x = 113,796,402,905.16
  5. Step 5: Solve for x
    x = 113,796,402,905.16/463,277.40
  6. Step 6: Final answer
    x = 245,633.40

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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.