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Finding the Fourth Proportional to 585,083.04, 877,624.56 and 205,914.48

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Solution

The fourth proportional to 585,083.04, 877,624.56 and 205,914.48 is: 308,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,083.04 : 877,624.56 = 205,914.48 : x
  2. Step 2: Convert to fraction form
    585,083.04/877,624.56 = 205,914.48/x
  3. Step 3: Cross multiply
    585,083.04x = 877,624.56 × 205,914.48
  4. Step 4: Simplify right side
    585,083.04x = 180,715,604,907.63
  5. Step 5: Solve for x
    x = 180,715,604,907.63/585,083.04
  6. Step 6: Final answer
    x = 308,871.72

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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.