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Finding the Fourth Proportional to 465,042, 697,569.60 and 132,618

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Solution

The fourth proportional to 465,042, 697,569.60 and 132,618 is: 198,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,042 : 697,569.60 = 132,618 : x
  2. Step 2: Convert to fraction form
    465,042/697,569.60 = 132,618/x
  3. Step 3: Cross multiply
    465,042x = 697,569.60 × 132,618
  4. Step 4: Simplify right side
    465,042x = 92,510,285,212.80
  5. Step 5: Solve for x
    x = 92,510,285,212.80/465,042
  6. Step 6: Final answer
    x = 198,928.88

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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.