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Finding the Fourth Proportional to 417,720.60, 576,457.34 and 226,733.94

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Solution

The fourth proportional to 417,720.60, 576,457.34 and 226,733.94 is: 312,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,720.60 : 576,457.34 = 226,733.94 : x
  2. Step 2: Convert to fraction form
    417,720.60/576,457.34 = 226,733.94/x
  3. Step 3: Cross multiply
    417,720.60x = 576,457.34 × 226,733.94
  4. Step 4: Simplify right side
    417,720.60x = 130,702,443,940.12
  5. Step 5: Solve for x
    x = 130,702,443,940.12/417,720.60
  6. Step 6: Final answer
    x = 312,894.42

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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.