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Finding the Fourth Proportional to 497,302.14, 745,952.40 and 123,325.14

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Solution

The fourth proportional to 497,302.14, 745,952.40 and 123,325.14 is: 184,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,302.14 : 745,952.40 = 123,325.14 : x
  2. Step 2: Convert to fraction form
    497,302.14/745,952.40 = 123,325.14/x
  3. Step 3: Cross multiply
    497,302.14x = 745,952.40 × 123,325.14
  4. Step 4: Simplify right side
    497,302.14x = 91,994,684,163.34
  5. Step 5: Solve for x
    x = 91,994,684,163.34/497,302.14
  6. Step 6: Final answer
    x = 184,987.51

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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.