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Finding the Fourth Proportional to 314,794.49, 434,367.09 and 176,946.12

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Solution

The fourth proportional to 314,794.49, 434,367.09 and 176,946.12 is: 244,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,794.49 : 434,367.09 = 176,946.12 : x
  2. Step 2: Convert to fraction form
    314,794.49/434,367.09 = 176,946.12/x
  3. Step 3: Cross multiply
    314,794.49x = 434,367.09 × 176,946.12
  4. Step 4: Simplify right side
    314,794.49x = 76,859,571,231.19
  5. Step 5: Solve for x
    x = 76,859,571,231.19/314,794.49
  6. Step 6: Final answer
    x = 244,157.93

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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.