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Finding the Fourth Proportional to 417,609.75, 576,303 and 226,623.09

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Solution

The fourth proportional to 417,609.75, 576,303 and 226,623.09 is: 312,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,609.75 : 576,303 = 226,623.09 : x
  2. Step 2: Convert to fraction form
    417,609.75/576,303 = 226,623.09/x
  3. Step 3: Cross multiply
    417,609.75x = 576,303 × 226,623.09
  4. Step 4: Simplify right side
    417,609.75x = 130,603,566,636.27
  5. Step 5: Solve for x
    x = 130,603,566,636.27/417,609.75
  6. Step 6: Final answer
    x = 312,740.70

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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.