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Finding the Fourth Proportional to 365,830.70, 512,512.90 and 365,830.70

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Solution

The fourth proportional to 365,830.70, 512,512.90 and 365,830.70 is: 512,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,830.70 : 512,512.90 = 365,830.70 : x
  2. Step 2: Convert to fraction form
    365,830.70/512,512.90 = 365,830.70/x
  3. Step 3: Cross multiply
    365,830.70x = 512,512.90 × 365,830.70
  4. Step 4: Simplify right side
    365,830.70x = 187,492,952,966.03
  5. Step 5: Solve for x
    x = 187,492,952,966.03/365,830.70
  6. Step 6: Final answer
    x = 512,512.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.