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Finding the Fourth Proportional to 585,336.48, 878,056.56 and 164,615.84

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Solution

The fourth proportional to 585,336.48, 878,056.56 and 164,615.84 is: 246,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,336.48 : 878,056.56 = 164,615.84 : x
  2. Step 2: Convert to fraction form
    585,336.48/878,056.56 = 164,615.84/x
  3. Step 3: Cross multiply
    585,336.48x = 878,056.56 × 164,615.84
  4. Step 4: Simplify right side
    585,336.48x = 144,542,018,191.91
  5. Step 5: Solve for x
    x = 144,542,018,191.91/585,336.48
  6. Step 6: Final answer
    x = 246,938.34

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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.