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Finding the Fourth Proportional to 1,297,737, 1,946,605.50 and 411,273

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Solution

The fourth proportional to 1,297,737, 1,946,605.50 and 411,273 is: 616,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,737 : 1,946,605.50 = 411,273 : x
  2. Step 2: Convert to fraction form
    1,297,737/1,946,605.50 = 411,273/x
  3. Step 3: Cross multiply
    1,297,737x = 1,946,605.50 × 411,273
  4. Step 4: Simplify right side
    1,297,737x = 800,586,283,801.50
  5. Step 5: Solve for x
    x = 800,586,283,801.50/1,297,737
  6. Step 6: Final answer
    x = 616,909.50

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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.