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Finding the Fourth Proportional to 468,596.30, 646,649.07 and 264,655.58

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Solution

The fourth proportional to 468,596.30, 646,649.07 and 264,655.58 is: 365,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,596.30 : 646,649.07 = 264,655.58 : x
  2. Step 2: Convert to fraction form
    468,596.30/646,649.07 = 264,655.58/x
  3. Step 3: Cross multiply
    468,596.30x = 646,649.07 × 264,655.58
  4. Step 4: Simplify right side
    468,596.30x = 171,139,284,677.31
  5. Step 5: Solve for x
    x = 171,139,284,677.31/468,596.30
  6. Step 6: Final answer
    x = 365,216.89

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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.