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Finding the Fourth Proportional to 294,596, 406,542.48 and 160,460

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Solution

The fourth proportional to 294,596, 406,542.48 and 160,460 is: 221,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,596 : 406,542.48 = 160,460 : x
  2. Step 2: Convert to fraction form
    294,596/406,542.48 = 160,460/x
  3. Step 3: Cross multiply
    294,596x = 406,542.48 × 160,460
  4. Step 4: Simplify right side
    294,596x = 65,233,806,340.80
  5. Step 5: Solve for x
    x = 65,233,806,340.80/294,596
  6. Step 6: Final answer
    x = 221,434.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.