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Finding the Fourth Proportional to 453,699.36, 680,403.65 and 150,036.84

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Solution

The fourth proportional to 453,699.36, 680,403.65 and 150,036.84 is: 225,007.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,699.36 : 680,403.65 = 150,036.84 : x
  2. Step 2: Convert to fraction form
    453,699.36/680,403.65 = 150,036.84/x
  3. Step 3: Cross multiply
    453,699.36x = 680,403.65 × 150,036.84
  4. Step 4: Simplify right side
    453,699.36x = 102,085,612,820.28
  5. Step 5: Solve for x
    x = 102,085,612,820.28/453,699.36
  6. Step 6: Final answer
    x = 225,007.18

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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.