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Finding the Fourth Proportional to 417,164.46, 575,690.94 and 226,178.34

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Solution

The fourth proportional to 417,164.46, 575,690.94 and 226,178.34 is: 312,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,164.46 : 575,690.94 = 226,178.34 : x
  2. Step 2: Convert to fraction form
    417,164.46/575,690.94 = 226,178.34/x
  3. Step 3: Cross multiply
    417,164.46x = 575,690.94 × 226,178.34
  4. Step 4: Simplify right side
    417,164.46x = 130,208,821,162.24
  5. Step 5: Solve for x
    x = 130,208,821,162.24/417,164.46
  6. Step 6: Final answer
    x = 312,128.27

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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.