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Finding the Fourth Proportional to 585,193.92, 877,821.25 and 185,865.94

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Solution

The fourth proportional to 585,193.92, 877,821.25 and 185,865.94 is: 278,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,193.92 : 877,821.25 = 185,865.94 : x
  2. Step 2: Convert to fraction form
    585,193.92/877,821.25 = 185,865.94/x
  3. Step 3: Cross multiply
    585,193.92x = 877,821.25 × 185,865.94
  4. Step 4: Simplify right side
    585,193.92x = 163,157,072,764.34
  5. Step 5: Solve for x
    x = 163,157,072,764.34/585,193.92
  6. Step 6: Final answer
    x = 278,808.56

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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.