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Finding the Fourth Proportional to 698,465.67, 964,145.96 and 408,171.50

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Solution

The fourth proportional to 698,465.67, 964,145.96 and 408,171.50 is: 563,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,465.67 : 964,145.96 = 408,171.50 : x
  2. Step 2: Convert to fraction form
    698,465.67/964,145.96 = 408,171.50/x
  3. Step 3: Cross multiply
    698,465.67x = 964,145.96 × 408,171.50
  4. Step 4: Simplify right side
    698,465.67x = 393,536,902,712.14
  5. Step 5: Solve for x
    x = 393,536,902,712.14/698,465.67
  6. Step 6: Final answer
    x = 563,430.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.