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Finding the Fourth Proportional to 596,141.04, 894,300.48 and 196,824

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Solution

The fourth proportional to 596,141.04, 894,300.48 and 196,824 is: 295,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,141.04 : 894,300.48 = 196,824 : x
  2. Step 2: Convert to fraction form
    596,141.04/894,300.48 = 196,824/x
  3. Step 3: Cross multiply
    596,141.04x = 894,300.48 × 196,824
  4. Step 4: Simplify right side
    596,141.04x = 176,019,797,675.52
  5. Step 5: Solve for x
    x = 176,019,797,675.52/596,141.04
  6. Step 6: Final answer
    x = 295,265.36

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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.