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Finding the Fourth Proportional to 294,600, 406,548 and 160,464

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Solution

The fourth proportional to 294,600, 406,548 and 160,464 is: 221,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,600 : 406,548 = 160,464 : x
  2. Step 2: Convert to fraction form
    294,600/406,548 = 160,464/x
  3. Step 3: Cross multiply
    294,600x = 406,548 × 160,464
  4. Step 4: Simplify right side
    294,600x = 65,236,318,272
  5. Step 5: Solve for x
    x = 65,236,318,272/294,600
  6. Step 6: Final answer
    x = 221,440.32

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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.