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Finding the Fourth Proportional to 298,574.48, 412,005.66 and 177,696.26

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Solution

The fourth proportional to 298,574.48, 412,005.66 and 177,696.26 is: 245,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,574.48 : 412,005.66 = 177,696.26 : x
  2. Step 2: Convert to fraction form
    298,574.48/412,005.66 = 177,696.26/x
  3. Step 3: Cross multiply
    298,574.48x = 412,005.66 × 177,696.26
  4. Step 4: Simplify right side
    298,574.48x = 73,211,864,880.83
  5. Step 5: Solve for x
    x = 73,211,864,880.83/298,574.48
  6. Step 6: Final answer
    x = 245,204.70

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1.5x scale

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.