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Finding the Fourth Proportional to 417,696.81, 576,406.16 and 226,706.10

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Solution

The fourth proportional to 417,696.81, 576,406.16 and 226,706.10 is: 312,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,696.81 : 576,406.16 = 226,706.10 : x
  2. Step 2: Convert to fraction form
    417,696.81/576,406.16 = 226,706.10/x
  3. Step 3: Cross multiply
    417,696.81x = 576,406.16 × 226,706.10
  4. Step 4: Simplify right side
    417,696.81x = 130,674,791,416.05
  5. Step 5: Solve for x
    x = 130,674,791,416.05/417,696.81
  6. Step 6: Final answer
    x = 312,846.04

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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.