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Finding the Fourth Proportional to 469,501.92, 704,303.64 and 149,578.32

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Solution

The fourth proportional to 469,501.92, 704,303.64 and 149,578.32 is: 224,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,501.92 : 704,303.64 = 149,578.32 : x
  2. Step 2: Convert to fraction form
    469,501.92/704,303.64 = 149,578.32/x
  3. Step 3: Cross multiply
    469,501.92x = 704,303.64 × 149,578.32
  4. Step 4: Simplify right side
    469,501.92x = 105,348,555,241.09
  5. Step 5: Solve for x
    x = 105,348,555,241.09/469,501.92
  6. Step 6: Final answer
    x = 224,383.65

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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.