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Finding the Fourth Proportional to 465,328.29, 642,397.94 and 313,166.40

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Solution

The fourth proportional to 465,328.29, 642,397.94 and 313,166.40 is: 432,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,328.29 : 642,397.94 = 313,166.40 : x
  2. Step 2: Convert to fraction form
    465,328.29/642,397.94 = 313,166.40/x
  3. Step 3: Cross multiply
    465,328.29x = 642,397.94 × 313,166.40
  4. Step 4: Simplify right side
    465,328.29x = 201,177,451,050.25
  5. Step 5: Solve for x
    x = 201,177,451,050.25/465,328.29
  6. Step 6: Final answer
    x = 432,334.45

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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.