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Finding the Fourth Proportional to 403,945.40, 605,529.30 and 313,938.20

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Solution

The fourth proportional to 403,945.40, 605,529.30 and 313,938.20 is: 470,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,945.40 : 605,529.30 = 313,938.20 : x
  2. Step 2: Convert to fraction form
    403,945.40/605,529.30 = 313,938.20/x
  3. Step 3: Cross multiply
    403,945.40x = 605,529.30 × 313,938.20
  4. Step 4: Simplify right side
    403,945.40x = 190,098,778,489.26
  5. Step 5: Solve for x
    x = 190,098,778,489.26/403,945.40
  6. Step 6: Final answer
    x = 470,605.13

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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.