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Finding the Fourth Proportional to 397,403.40, 596,105.10 and 304,091.40

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Solution

The fourth proportional to 397,403.40, 596,105.10 and 304,091.40 is: 456,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,403.40 : 596,105.10 = 304,091.40 : x
  2. Step 2: Convert to fraction form
    397,403.40/596,105.10 = 304,091.40/x
  3. Step 3: Cross multiply
    397,403.40x = 596,105.10 × 304,091.40
  4. Step 4: Simplify right side
    397,403.40x = 181,270,434,406.14
  5. Step 5: Solve for x
    x = 181,270,434,406.14/397,403.40
  6. Step 6: Final answer
    x = 456,137.10

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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.