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Finding the Fourth Proportional to 512,646.20, 702,313.63 and 493,478.90

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Solution

The fourth proportional to 512,646.20, 702,313.63 and 493,478.90 is: 676,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,646.20 : 702,313.63 = 493,478.90 : x
  2. Step 2: Convert to fraction form
    512,646.20/702,313.63 = 493,478.90/x
  3. Step 3: Cross multiply
    512,646.20x = 702,313.63 × 493,478.90
  4. Step 4: Simplify right side
    512,646.20x = 346,576,957,587.41
  5. Step 5: Solve for x
    x = 346,576,957,587.41/512,646.20
  6. Step 6: Final answer
    x = 676,054.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.