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Finding the Fourth Proportional to 686,937.30, 946,878.08 and 541,505.91

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Solution

The fourth proportional to 686,937.30, 946,878.08 and 541,505.91 is: 746,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,937.30 : 946,878.08 = 541,505.91 : x
  2. Step 2: Convert to fraction form
    686,937.30/946,878.08 = 541,505.91/x
  3. Step 3: Cross multiply
    686,937.30x = 946,878.08 × 541,505.91
  4. Step 4: Simplify right side
    686,937.30x = 512,740,076,369.45
  5. Step 5: Solve for x
    x = 512,740,076,369.45/686,937.30
  6. Step 6: Final answer
    x = 746,414.67

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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.