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Finding the Fourth Proportional to 596,650.70, 893,931.77 and 406,493.80

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Solution

The fourth proportional to 596,650.70, 893,931.77 and 406,493.80 is: 609,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,650.70 : 893,931.77 = 406,493.80 : x
  2. Step 2: Convert to fraction form
    596,650.70/893,931.77 = 406,493.80/x
  3. Step 3: Cross multiply
    596,650.70x = 893,931.77 × 406,493.80
  4. Step 4: Simplify right side
    596,650.70x = 363,377,720,909.43
  5. Step 5: Solve for x
    x = 363,377,720,909.43/596,650.70
  6. Step 6: Final answer
    x = 609,029.24

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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.