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Finding the Fourth Proportional to 585,752.09, 878,051.63 and 342,284.17

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Solution

The fourth proportional to 585,752.09, 878,051.63 and 342,284.17 is: 513,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,752.09 : 878,051.63 = 342,284.17 : x
  2. Step 2: Convert to fraction form
    585,752.09/878,051.63 = 342,284.17/x
  3. Step 3: Cross multiply
    585,752.09x = 878,051.63 × 342,284.17
  4. Step 4: Simplify right side
    585,752.09x = 300,543,171,676.44
  5. Step 5: Solve for x
    x = 300,543,171,676.44/585,752.09
  6. Step 6: Final answer
    x = 513,089.37

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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.