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Finding the Fourth Proportional to 645,810.40, 966,411.60 and 409,266.40

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Solution

The fourth proportional to 645,810.40, 966,411.60 and 409,266.40 is: 612,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,810.40 : 966,411.60 = 409,266.40 : x
  2. Step 2: Convert to fraction form
    645,810.40/966,411.60 = 409,266.40/x
  3. Step 3: Cross multiply
    645,810.40x = 966,411.60 × 409,266.40
  4. Step 4: Simplify right side
    645,810.40x = 395,519,796,450.24
  5. Step 5: Solve for x
    x = 395,519,796,450.24/645,810.40
  6. Step 6: Final answer
    x = 612,439.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.