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Finding the Fourth Proportional to 610,114.60, 914,912.70 and 294,668.20

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Solution

The fourth proportional to 610,114.60, 914,912.70 and 294,668.20 is: 441,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,114.60 : 914,912.70 = 294,668.20 : x
  2. Step 2: Convert to fraction form
    610,114.60/914,912.70 = 294,668.20/x
  3. Step 3: Cross multiply
    610,114.60x = 914,912.70 × 294,668.20
  4. Step 4: Simplify right side
    610,114.60x = 269,595,678,466.14
  5. Step 5: Solve for x
    x = 269,595,678,466.14/610,114.60
  6. Step 6: Final answer
    x = 441,877.11

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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.