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Finding the Fourth Proportional to 417,967.12, 576,779.20 and 226,976.41

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Solution

The fourth proportional to 417,967.12, 576,779.20 and 226,976.41 is: 313,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,967.12 : 576,779.20 = 226,976.41 : x
  2. Step 2: Convert to fraction form
    417,967.12/576,779.20 = 226,976.41/x
  3. Step 3: Cross multiply
    417,967.12x = 576,779.20 × 226,976.41
  4. Step 4: Simplify right side
    417,967.12x = 130,915,272,178.67
  5. Step 5: Solve for x
    x = 130,915,272,178.67/417,967.12
  6. Step 6: Final answer
    x = 313,219.07

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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.