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Finding the Fourth Proportional to 518,066.49, 714,735.21 and 314,043.03

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Solution

The fourth proportional to 518,066.49, 714,735.21 and 314,043.03 is: 433,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,066.49 : 714,735.21 = 314,043.03 : x
  2. Step 2: Convert to fraction form
    518,066.49/714,735.21 = 314,043.03/x
  3. Step 3: Cross multiply
    518,066.49x = 714,735.21 × 314,043.03
  4. Step 4: Simplify right side
    518,066.49x = 224,457,610,996.09
  5. Step 5: Solve for x
    x = 224,457,610,996.09/518,066.49
  6. Step 6: Final answer
    x = 433,260.24

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Why These Related Problems?

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