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Finding the Fourth Proportional to 585,131.54, 877,697.31 and 205,962.98

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Solution

The fourth proportional to 585,131.54, 877,697.31 and 205,962.98 is: 308,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,131.54 : 877,697.31 = 205,962.98 : x
  2. Step 2: Convert to fraction form
    585,131.54/877,697.31 = 205,962.98/x
  3. Step 3: Cross multiply
    585,131.54x = 877,697.31 × 205,962.98
  4. Step 4: Simplify right side
    585,131.54x = 180,773,153,505.58
  5. Step 5: Solve for x
    x = 180,773,153,505.58/585,131.54
  6. Step 6: Final answer
    x = 308,944.47

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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.