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Finding the Fourth Proportional to 313,838.40, 433,133.28 and 186,512.88

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Solution

The fourth proportional to 313,838.40, 433,133.28 and 186,512.88 is: 257,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,838.40 : 433,133.28 = 186,512.88 : x
  2. Step 2: Convert to fraction form
    313,838.40/433,133.28 = 186,512.88/x
  3. Step 3: Cross multiply
    313,838.40x = 433,133.28 × 186,512.88
  4. Step 4: Simplify right side
    313,838.40x = 80,784,935,476.65
  5. Step 5: Solve for x
    x = 80,784,935,476.65/313,838.40
  6. Step 6: Final answer
    x = 257,409.34

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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.