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Finding the Fourth Proportional to 497,299.14, 745,947.90 and 123,322.14

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Solution

The fourth proportional to 497,299.14, 745,947.90 and 123,322.14 is: 184,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,299.14 : 745,947.90 = 123,322.14 : x
  2. Step 2: Convert to fraction form
    497,299.14/745,947.90 = 123,322.14/x
  3. Step 3: Cross multiply
    497,299.14x = 745,947.90 × 123,322.14
  4. Step 4: Simplify right side
    497,299.14x = 91,991,891,356.51
  5. Step 5: Solve for x
    x = 91,991,891,356.51/497,299.14
  6. Step 6: Final answer
    x = 184,983.01

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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.