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Finding the Fourth Proportional to 383,197.46, 573,814.77 and 319,860.11

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Solution

The fourth proportional to 383,197.46, 573,814.77 and 319,860.11 is: 478,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,197.46 : 573,814.77 = 319,860.11 : x
  2. Step 2: Convert to fraction form
    383,197.46/573,814.77 = 319,860.11/x
  3. Step 3: Cross multiply
    383,197.46x = 573,814.77 × 319,860.11
  4. Step 4: Simplify right side
    383,197.46x = 183,540,455,686.89
  5. Step 5: Solve for x
    x = 183,540,455,686.89/383,197.46
  6. Step 6: Final answer
    x = 478,970.97

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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.