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Finding the Fourth Proportional to 417,447.34, 576,078.80 and 226,462.10

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Solution

The fourth proportional to 417,447.34, 576,078.80 and 226,462.10 is: 312,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,447.34 : 576,078.80 = 226,462.10 : x
  2. Step 2: Convert to fraction form
    417,447.34/576,078.80 = 226,462.10/x
  3. Step 3: Cross multiply
    417,447.34x = 576,078.80 × 226,462.10
  4. Step 4: Simplify right side
    417,447.34x = 130,460,012,961.07
  5. Step 5: Solve for x
    x = 130,460,012,961.07/417,447.34
  6. Step 6: Final answer
    x = 312,518.49

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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.