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Finding the Fourth Proportional to 466,582.92, 643,904.82 and 262,647

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Solution

The fourth proportional to 466,582.92, 643,904.82 and 262,647 is: 362,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,582.92 : 643,904.82 = 262,647 : x
  2. Step 2: Convert to fraction form
    466,582.92/643,904.82 = 262,647/x
  3. Step 3: Cross multiply
    466,582.92x = 643,904.82 × 262,647
  4. Step 4: Simplify right side
    466,582.92x = 169,119,669,258.54
  5. Step 5: Solve for x
    x = 169,119,669,258.54/466,582.92
  6. Step 6: Final answer
    x = 362,464.34

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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.