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Finding the Fourth Proportional to 585,729.24, 877,590.87 and 319,676.43

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Solution

The fourth proportional to 585,729.24, 877,590.87 and 319,676.43 is: 478,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,729.24 : 877,590.87 = 319,676.43 : x
  2. Step 2: Convert to fraction form
    585,729.24/877,590.87 = 319,676.43/x
  3. Step 3: Cross multiply
    585,729.24x = 877,590.87 × 319,676.43
  4. Step 4: Simplify right side
    585,729.24x = 280,545,116,322.19
  5. Step 5: Solve for x
    x = 280,545,116,322.19/585,729.24
  6. Step 6: Final answer
    x = 478,967.24

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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.