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Finding the Fourth Proportional to 594,563.82, 891,981.94 and 257,661

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Solution

The fourth proportional to 594,563.82, 891,981.94 and 257,661 is: 386,550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,563.82 : 891,981.94 = 257,661 : x
  2. Step 2: Convert to fraction form
    594,563.82/891,981.94 = 257,661/x
  3. Step 3: Cross multiply
    594,563.82x = 891,981.94 × 257,661
  4. Step 4: Simplify right side
    594,563.82x = 229,828,958,642.34
  5. Step 5: Solve for x
    x = 229,828,958,642.34/594,563.82
  6. Step 6: Final answer
    x = 386,550.53

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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.