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Finding the Fourth Proportional to 585,152.44, 877,982.19 and 206,343.75

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Solution

The fourth proportional to 585,152.44, 877,982.19 and 206,343.75 is: 309,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,152.44 : 877,982.19 = 206,343.75 : x
  2. Step 2: Convert to fraction form
    585,152.44/877,982.19 = 206,343.75/x
  3. Step 3: Cross multiply
    585,152.44x = 877,982.19 × 206,343.75
  4. Step 4: Simplify right side
    585,152.44x = 181,166,140,036.46
  5. Step 5: Solve for x
    x = 181,166,140,036.46/585,152.44
  6. Step 6: Final answer
    x = 309,605.03

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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.