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Finding the Fourth Proportional to 923,557, 1,384,395 and 586,846.48

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Solution

The fourth proportional to 923,557, 1,384,395 and 586,846.48 is: 879,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,557 : 1,384,395 = 586,846.48 : x
  2. Step 2: Convert to fraction form
    923,557/1,384,395 = 586,846.48/x
  3. Step 3: Cross multiply
    923,557x = 1,384,395 × 586,846.48
  4. Step 4: Simplify right side
    923,557x = 812,427,332,679.60
  5. Step 5: Solve for x
    x = 812,427,332,679.60/923,557
  6. Step 6: Final answer
    x = 879,672.11

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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.