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Finding the Fourth Proportional to 468,786.18, 646,886.58 and 264,854.81

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Solution

The fourth proportional to 468,786.18, 646,886.58 and 264,854.81 is: 365,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,786.18 : 646,886.58 = 264,854.81 : x
  2. Step 2: Convert to fraction form
    468,786.18/646,886.58 = 264,854.81/x
  3. Step 3: Cross multiply
    468,786.18x = 646,886.58 × 264,854.81
  4. Step 4: Simplify right side
    468,786.18x = 171,331,023,606.37
  5. Step 5: Solve for x
    x = 171,331,023,606.37/468,786.18
  6. Step 6: Final answer
    x = 365,477.97

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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.