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Finding the Fourth Proportional to 594,568.80, 891,989.44 and 257,666

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Solution

The fourth proportional to 594,568.80, 891,989.44 and 257,666 is: 386,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,568.80 : 891,989.44 = 257,666 : x
  2. Step 2: Convert to fraction form
    594,568.80/891,989.44 = 257,666/x
  3. Step 3: Cross multiply
    594,568.80x = 891,989.44 × 257,666
  4. Step 4: Simplify right side
    594,568.80x = 229,835,351,047.04
  5. Step 5: Solve for x
    x = 229,835,351,047.04/594,568.80
  6. Step 6: Final answer
    x = 386,558.04

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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.