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Finding the Fourth Proportional to 642,431.40, 963,647.10 and 405,004.20

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Solution

The fourth proportional to 642,431.40, 963,647.10 and 405,004.20 is: 607,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,431.40 : 963,647.10 = 405,004.20 : x
  2. Step 2: Convert to fraction form
    642,431.40/963,647.10 = 405,004.20/x
  3. Step 3: Cross multiply
    642,431.40x = 963,647.10 × 405,004.20
  4. Step 4: Simplify right side
    642,431.40x = 390,281,122,817.82
  5. Step 5: Solve for x
    x = 390,281,122,817.82/642,431.40
  6. Step 6: Final answer
    x = 607,506.30

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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.