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Finding the Fourth Proportional to 417,496.14, 576,145.72 and 226,509.48

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Solution

The fourth proportional to 417,496.14, 576,145.72 and 226,509.48 is: 312,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,496.14 : 576,145.72 = 226,509.48 : x
  2. Step 2: Convert to fraction form
    417,496.14/576,145.72 = 226,509.48/x
  3. Step 3: Cross multiply
    417,496.14x = 576,145.72 × 226,509.48
  4. Step 4: Simplify right side
    417,496.14x = 130,502,467,441.43
  5. Step 5: Solve for x
    x = 130,502,467,441.43/417,496.14
  6. Step 6: Final answer
    x = 312,583.65

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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.