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Finding the Fourth Proportional to 458,346.14, 632,633.94 and 313,210.70

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Solution

The fourth proportional to 458,346.14, 632,633.94 and 313,210.70 is: 432,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,346.14 : 632,633.94 = 313,210.70 : x
  2. Step 2: Convert to fraction form
    458,346.14/632,633.94 = 313,210.70/x
  3. Step 3: Cross multiply
    458,346.14x = 632,633.94 × 313,210.70
  4. Step 4: Simplify right side
    458,346.14x = 198,147,719,191.16
  5. Step 5: Solve for x
    x = 198,147,719,191.16/458,346.14
  6. Step 6: Final answer
    x = 432,310.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.