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Finding the Fourth Proportional to 595,934.70, 893,902.05 and 406,977.90

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Solution

The fourth proportional to 595,934.70, 893,902.05 and 406,977.90 is: 610,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,934.70 : 893,902.05 = 406,977.90 : x
  2. Step 2: Convert to fraction form
    595,934.70/893,902.05 = 406,977.90/x
  3. Step 3: Cross multiply
    595,934.70x = 893,902.05 × 406,977.90
  4. Step 4: Simplify right side
    595,934.70x = 363,798,379,114.70
  5. Step 5: Solve for x
    x = 363,798,379,114.70/595,934.70
  6. Step 6: Final answer
    x = 610,466.85

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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.