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Finding the Fourth Proportional to 497,300.14, 745,949.40 and 123,323.14

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Solution

The fourth proportional to 497,300.14, 745,949.40 and 123,323.14 is: 184,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,300.14 : 745,949.40 = 123,323.14 : x
  2. Step 2: Convert to fraction form
    497,300.14/745,949.40 = 123,323.14/x
  3. Step 3: Cross multiply
    497,300.14x = 745,949.40 × 123,323.14
  4. Step 4: Simplify right side
    497,300.14x = 91,992,822,289.12
  5. Step 5: Solve for x
    x = 91,992,822,289.12/497,300.14
  6. Step 6: Final answer
    x = 184,984.51

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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.