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Finding the Fourth Proportional to 949,982.98, 1,310,978.49 and 514,405.06

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Solution

The fourth proportional to 949,982.98, 1,310,978.49 and 514,405.06 is: 709,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,982.98 : 1,310,978.49 = 514,405.06 : x
  2. Step 2: Convert to fraction form
    949,982.98/1,310,978.49 = 514,405.06/x
  3. Step 3: Cross multiply
    949,982.98x = 1,310,978.49 × 514,405.06
  4. Step 4: Simplify right side
    949,982.98x = 674,373,968,807.16
  5. Step 5: Solve for x
    x = 674,373,968,807.16/949,982.98
  6. Step 6: Final answer
    x = 709,880.05

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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.