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Finding the Fourth Proportional to 585,359.50, 878,048.96 and 206,284.81

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Solution

The fourth proportional to 585,359.50, 878,048.96 and 206,284.81 is: 309,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,359.50 : 878,048.96 = 206,284.81 : x
  2. Step 2: Convert to fraction form
    585,359.50/878,048.96 = 206,284.81/x
  3. Step 3: Cross multiply
    585,359.50x = 878,048.96 × 206,284.81
  4. Step 4: Simplify right side
    585,359.50x = 181,128,162,884.30
  5. Step 5: Solve for x
    x = 181,128,162,884.30/585,359.50
  6. Step 6: Final answer
    x = 309,430.64

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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.