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Finding the Fourth Proportional to 698,464.67, 964,144.58 and 408,170.50

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Solution

The fourth proportional to 698,464.67, 964,144.58 and 408,170.50 is: 563,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,464.67 : 964,144.58 = 408,170.50 : x
  2. Step 2: Convert to fraction form
    698,464.67/964,144.58 = 408,170.50/x
  3. Step 3: Cross multiply
    698,464.67x = 964,144.58 × 408,170.50
  4. Step 4: Simplify right side
    698,464.67x = 393,535,368,429.32
  5. Step 5: Solve for x
    x = 393,535,368,429.32/698,464.67
  6. Step 6: Final answer
    x = 563,429.17

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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.