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Finding the Fourth Proportional to 313,314.30, 469,971.45 and 308,130.30

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Solution

The fourth proportional to 313,314.30, 469,971.45 and 308,130.30 is: 462,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,314.30 : 469,971.45 = 308,130.30 : x
  2. Step 2: Convert to fraction form
    313,314.30/469,971.45 = 308,130.30/x
  3. Step 3: Cross multiply
    313,314.30x = 469,971.45 × 308,130.30
  4. Step 4: Simplify right side
    313,314.30x = 144,812,443,879.94
  5. Step 5: Solve for x
    x = 144,812,443,879.94/313,314.30
  6. Step 6: Final answer
    x = 462,195.45

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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.