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Finding the Fourth Proportional to 340,807.10, 470,348.79 and 204,885.32

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Solution

The fourth proportional to 340,807.10, 470,348.79 and 204,885.32 is: 282,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,807.10 : 470,348.79 = 204,885.32 : x
  2. Step 2: Convert to fraction form
    340,807.10/470,348.79 = 204,885.32/x
  3. Step 3: Cross multiply
    340,807.10x = 470,348.79 × 204,885.32
  4. Step 4: Simplify right side
    340,807.10x = 96,367,562,350.76
  5. Step 5: Solve for x
    x = 96,367,562,350.76/340,807.10
  6. Step 6: Final answer
    x = 282,762.78

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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.