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Finding the Fourth Proportional to 923,184, 1,273,840.02 and 616,769.10

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Solution

The fourth proportional to 923,184, 1,273,840.02 and 616,769.10 is: 851,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,184 : 1,273,840.02 = 616,769.10 : x
  2. Step 2: Convert to fraction form
    923,184/1,273,840.02 = 616,769.10/x
  3. Step 3: Cross multiply
    923,184x = 1,273,840.02 × 616,769.10
  4. Step 4: Simplify right side
    923,184x = 785,665,162,679.38
  5. Step 5: Solve for x
    x = 785,665,162,679.38/923,184
  6. Step 6: Final answer
    x = 851,038.54

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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.