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Finding the Fourth Proportional to 563,834.49, 846,172.05 and 226,878

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Solution

The fourth proportional to 563,834.49, 846,172.05 and 226,878 is: 340,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,834.49 : 846,172.05 = 226,878 : x
  2. Step 2: Convert to fraction form
    563,834.49/846,172.05 = 226,878/x
  3. Step 3: Cross multiply
    563,834.49x = 846,172.05 × 226,878
  4. Step 4: Simplify right side
    563,834.49x = 191,977,822,359.90
  5. Step 5: Solve for x
    x = 191,977,822,359.90/563,834.49
  6. Step 6: Final answer
    x = 340,486.13

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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.