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Finding the Fourth Proportional to 892,094, 1,337,878.56 and 260,857.76

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Solution

The fourth proportional to 892,094, 1,337,878.56 and 260,857.76 is: 391,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,094 : 1,337,878.56 = 260,857.76 : x
  2. Step 2: Convert to fraction form
    892,094/1,337,878.56 = 260,857.76/x
  3. Step 3: Cross multiply
    892,094x = 1,337,878.56 × 260,857.76
  4. Step 4: Simplify right side
    892,094x = 348,996,004,313.63
  5. Step 5: Solve for x
    x = 348,996,004,313.63/892,094
  6. Step 6: Final answer
    x = 391,209.90

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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.