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Finding the Fourth Proportional to 468,779.40, 646,869.24 and 262,009.08

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Solution

The fourth proportional to 468,779.40, 646,869.24 and 262,009.08 is: 361,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,779.40 : 646,869.24 = 262,009.08 : x
  2. Step 2: Convert to fraction form
    468,779.40/646,869.24 = 262,009.08/x
  3. Step 3: Cross multiply
    468,779.40x = 646,869.24 × 262,009.08
  4. Step 4: Simplify right side
    468,779.40x = 169,485,614,452.70
  5. Step 5: Solve for x
    x = 169,485,614,452.70/468,779.40
  6. Step 6: Final answer
    x = 361,546.63

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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.