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Finding the Fourth Proportional to 304,792, 420,613.12 and 170,658.88

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Solution

The fourth proportional to 304,792, 420,613.12 and 170,658.88 is: 235,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,792 : 420,613.12 = 170,658.88 : x
  2. Step 2: Convert to fraction form
    304,792/420,613.12 = 170,658.88/x
  3. Step 3: Cross multiply
    304,792x = 420,613.12 × 170,658.88
  4. Step 4: Simplify right side
    304,792x = 71,781,363,972.51
  5. Step 5: Solve for x
    x = 71,781,363,972.51/304,792
  6. Step 6: Final answer
    x = 235,509.34

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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.