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Finding the Fourth Proportional to 520,676.64, 779,907.47 and 307,214.49

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Solution

The fourth proportional to 520,676.64, 779,907.47 and 307,214.49 is: 460,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,676.64 : 779,907.47 = 307,214.49 : x
  2. Step 2: Convert to fraction form
    520,676.64/779,907.47 = 307,214.49/x
  3. Step 3: Cross multiply
    520,676.64x = 779,907.47 × 307,214.49
  4. Step 4: Simplify right side
    520,676.64x = 239,598,874,107.17
  5. Step 5: Solve for x
    x = 239,598,874,107.17/520,676.64
  6. Step 6: Final answer
    x = 460,168.28

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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.