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Finding the Fourth Proportional to 1,297,785, 1,946,677.50 and 411,321

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Solution

The fourth proportional to 1,297,785, 1,946,677.50 and 411,321 is: 616,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,785 : 1,946,677.50 = 411,321 : x
  2. Step 2: Convert to fraction form
    1,297,785/1,946,677.50 = 411,321/x
  3. Step 3: Cross multiply
    1,297,785x = 1,946,677.50 × 411,321
  4. Step 4: Simplify right side
    1,297,785x = 800,709,335,977.50
  5. Step 5: Solve for x
    x = 800,709,335,977.50/1,297,785
  6. Step 6: Final answer
    x = 616,981.50

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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.