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Finding the Fourth Proportional to 415,825.92, 620,730.85 and 365,380.74

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Solution

The fourth proportional to 415,825.92, 620,730.85 and 365,380.74 is: 545,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,825.92 : 620,730.85 = 365,380.74 : x
  2. Step 2: Convert to fraction form
    415,825.92/620,730.85 = 365,380.74/x
  3. Step 3: Cross multiply
    415,825.92x = 620,730.85 × 365,380.74
  4. Step 4: Simplify right side
    415,825.92x = 226,803,097,313.83
  5. Step 5: Solve for x
    x = 226,803,097,313.83/415,825.92
  6. Step 6: Final answer
    x = 545,427.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.