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Finding the Fourth Proportional to 294,709, 406,698.44 and 160,573

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Solution

The fourth proportional to 294,709, 406,698.44 and 160,573 is: 221,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,709 : 406,698.44 = 160,573 : x
  2. Step 2: Convert to fraction form
    294,709/406,698.44 = 160,573/x
  3. Step 3: Cross multiply
    294,709x = 406,698.44 × 160,573
  4. Step 4: Simplify right side
    294,709x = 65,304,788,606.12
  5. Step 5: Solve for x
    x = 65,304,788,606.12/294,709
  6. Step 6: Final answer
    x = 221,590.75

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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.