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Finding the Fourth Proportional to 397,362.30, 596,043.45 and 172,830.30

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Solution

The fourth proportional to 397,362.30, 596,043.45 and 172,830.30 is: 259,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,362.30 : 596,043.45 = 172,830.30 : x
  2. Step 2: Convert to fraction form
    397,362.30/596,043.45 = 172,830.30/x
  3. Step 3: Cross multiply
    397,362.30x = 596,043.45 × 172,830.30
  4. Step 4: Simplify right side
    397,362.30x = 103,014,368,276.54
  5. Step 5: Solve for x
    x = 103,014,368,276.54/397,362.30
  6. Step 6: Final answer
    x = 259,245.45

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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.