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Finding the Fourth Proportional to 940,546, 1,297,963 and 510,834.52

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Solution

The fourth proportional to 940,546, 1,297,963 and 510,834.52 is: 704,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,546 : 1,297,963 = 510,834.52 : x
  2. Step 2: Convert to fraction form
    940,546/1,297,963 = 510,834.52/x
  3. Step 3: Cross multiply
    940,546x = 1,297,963 × 510,834.52
  4. Step 4: Simplify right side
    940,546x = 663,044,306,082.76
  5. Step 5: Solve for x
    x = 663,044,306,082.76/940,546
  6. Step 6: Final answer
    x = 704,956.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.