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Finding the Fourth Proportional to 494,935.40, 742,403.10 and 411,991.40

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Solution

The fourth proportional to 494,935.40, 742,403.10 and 411,991.40 is: 617,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,935.40 : 742,403.10 = 411,991.40 : x
  2. Step 2: Convert to fraction form
    494,935.40/742,403.10 = 411,991.40/x
  3. Step 3: Cross multiply
    494,935.40x = 742,403.10 × 411,991.40
  4. Step 4: Simplify right side
    494,935.40x = 305,863,692,533.34
  5. Step 5: Solve for x
    x = 305,863,692,533.34/494,935.40
  6. Step 6: Final answer
    x = 617,987.10

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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.