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Finding the Fourth Proportional to 585,729.61, 877,591.42 and 319,676.82

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Solution

The fourth proportional to 585,729.61, 877,591.42 and 319,676.82 is: 478,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,729.61 : 877,591.42 = 319,676.82 : x
  2. Step 2: Convert to fraction form
    585,729.61/877,591.42 = 319,676.82/x
  3. Step 3: Cross multiply
    585,729.61x = 877,591.42 × 319,676.82
  4. Step 4: Simplify right side
    585,729.61x = 280,545,634,404.88
  5. Step 5: Solve for x
    x = 280,545,634,404.88/585,729.61
  6. Step 6: Final answer
    x = 478,967.82

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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.