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Finding the Fourth Proportional to 428,673.09, 642,878.32 and 296,403.33

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Solution

The fourth proportional to 428,673.09, 642,878.32 and 296,403.33 is: 444,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,673.09 : 642,878.32 = 296,403.33 : x
  2. Step 2: Convert to fraction form
    428,673.09/642,878.32 = 296,403.33/x
  3. Step 3: Cross multiply
    428,673.09x = 642,878.32 × 296,403.33
  4. Step 4: Simplify right side
    428,673.09x = 190,551,274,832.81
  5. Step 5: Solve for x
    x = 190,551,274,832.81/428,673.09
  6. Step 6: Final answer
    x = 444,514.20

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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.