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Finding the Fourth Proportional to 340,892.49, 470,464.91 and 254,701.92

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Solution

The fourth proportional to 340,892.49, 470,464.91 and 254,701.92 is: 351,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,892.49 : 470,464.91 = 254,701.92 : x
  2. Step 2: Convert to fraction form
    340,892.49/470,464.91 = 254,701.92/x
  3. Step 3: Cross multiply
    340,892.49x = 470,464.91 × 254,701.92
  4. Step 4: Simplify right side
    340,892.49x = 119,828,315,869.63
  5. Step 5: Solve for x
    x = 119,828,315,869.63/340,892.49
  6. Step 6: Final answer
    x = 351,513.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.