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Finding the Fourth Proportional to 497,329.40, 745,994.10 and 310,446.20

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Solution

The fourth proportional to 497,329.40, 745,994.10 and 310,446.20 is: 465,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,329.40 : 745,994.10 = 310,446.20 : x
  2. Step 2: Convert to fraction form
    497,329.40/745,994.10 = 310,446.20/x
  3. Step 3: Cross multiply
    497,329.40x = 745,994.10 × 310,446.20
  4. Step 4: Simplify right side
    497,329.40x = 231,591,033,567.42
  5. Step 5: Solve for x
    x = 231,591,033,567.42/497,329.40
  6. Step 6: Final answer
    x = 465,669.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.