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Finding the Fourth Proportional to 461,595.40, 691,809.90 and 411,440.20

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Solution

The fourth proportional to 461,595.40, 691,809.90 and 411,440.20 is: 616,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,595.40 : 691,809.90 = 411,440.20 : x
  2. Step 2: Convert to fraction form
    461,595.40/691,809.90 = 411,440.20/x
  3. Step 3: Cross multiply
    461,595.40x = 691,809.90 × 411,440.20
  4. Step 4: Simplify right side
    461,595.40x = 284,638,403,617.98
  5. Step 5: Solve for x
    x = 284,638,403,617.98/461,595.40
  6. Step 6: Final answer
    x = 616,640.47

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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.